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Finding the Fourth Proportional to 107,835,803.20, 161,753,704.80 and 31,161,332.80

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Solution

The fourth proportional to 107,835,803.20, 161,753,704.80 and 31,161,332.80 is: 46,741,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,835,803.20 : 161,753,704.80 = 31,161,332.80 : x
  2. Step 2: Convert to fraction form
    107,835,803.20/161,753,704.80 = 31,161,332.80/x
  3. Step 3: Cross multiply
    107,835,803.20x = 161,753,704.80 × 31,161,332.80
  4. Step 4: Simplify right side
    107,835,803.20x = 5,040,461,026,905,758
  5. Step 5: Solve for x
    x = 5,040,461,026,905,758/107,835,803.20
  6. Step 6: Final answer
    x = 46,741,999.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.