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Finding the Fourth Proportional to 77,148.99, 106,460.58 and 43,151.58

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Solution

The fourth proportional to 77,148.99, 106,460.58 and 43,151.58 is: 59,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,148.99 : 106,460.58 = 43,151.58 : x
  2. Step 2: Convert to fraction form
    77,148.99/106,460.58 = 43,151.58/x
  3. Step 3: Cross multiply
    77,148.99x = 106,460.58 × 43,151.58
  4. Step 4: Simplify right side
    77,148.99x = 4,593,942,234.72
  5. Step 5: Solve for x
    x = 4,593,942,234.72/77,148.99
  6. Step 6: Final answer
    x = 59,546.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.