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Finding the Fourth Proportional to 107,820.80, 161,731.20 and 61,164.80

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Solution

The fourth proportional to 107,820.80, 161,731.20 and 61,164.80 is: 91,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,820.80 : 161,731.20 = 61,164.80 : x
  2. Step 2: Convert to fraction form
    107,820.80/161,731.20 = 61,164.80/x
  3. Step 3: Cross multiply
    107,820.80x = 161,731.20 × 61,164.80
  4. Step 4: Simplify right side
    107,820.80x = 9,892,256,501.76
  5. Step 5: Solve for x
    x = 9,892,256,501.76/107,820.80
  6. Step 6: Final answer
    x = 91,747.20

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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.