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Finding the Fourth Proportional to 102,139.74, 153,209.61 and 27,260.13

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Solution

The fourth proportional to 102,139.74, 153,209.61 and 27,260.13 is: 40,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,139.74 : 153,209.61 = 27,260.13 : x
  2. Step 2: Convert to fraction form
    102,139.74/153,209.61 = 27,260.13/x
  3. Step 3: Cross multiply
    102,139.74x = 153,209.61 × 27,260.13
  4. Step 4: Simplify right side
    102,139.74x = 4,176,513,885.85
  5. Step 5: Solve for x
    x = 4,176,513,885.85/102,139.74
  6. Step 6: Final answer
    x = 40,890.20

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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.