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Finding the Fourth Proportional to 272,715.40, 409,096.14 and 85,780.36

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Solution

The fourth proportional to 272,715.40, 409,096.14 and 85,780.36 is: 128,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,715.40 : 409,096.14 = 85,780.36 : x
  2. Step 2: Convert to fraction form
    272,715.40/409,096.14 = 85,780.36/x
  3. Step 3: Cross multiply
    272,715.40x = 409,096.14 × 85,780.36
  4. Step 4: Simplify right side
    272,715.40x = 35,092,414,163.81
  5. Step 5: Solve for x
    x = 35,092,414,163.81/272,715.40
  6. Step 6: Final answer
    x = 128,677.79

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