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Finding the Fourth Proportional to 102,289.14, 153,229.50 and 81,264.78

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Solution

The fourth proportional to 102,289.14, 153,229.50 and 81,264.78 is: 121,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,289.14 : 153,229.50 = 81,264.78 : x
  2. Step 2: Convert to fraction form
    102,289.14/153,229.50 = 81,264.78/x
  3. Step 3: Cross multiply
    102,289.14x = 153,229.50 × 81,264.78
  4. Step 4: Simplify right side
    102,289.14x = 12,452,161,607.01
  5. Step 5: Solve for x
    x = 12,452,161,607.01/102,289.14
  6. Step 6: Final answer
    x = 121,734.93

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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.