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Finding the Fourth Proportional to 152,081.20, 209,864.28 and 85,013.20

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Solution

The fourth proportional to 152,081.20, 209,864.28 and 85,013.20 is: 117,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,081.20 : 209,864.28 = 85,013.20 : x
  2. Step 2: Convert to fraction form
    152,081.20/209,864.28 = 85,013.20/x
  3. Step 3: Cross multiply
    152,081.20x = 209,864.28 × 85,013.20
  4. Step 4: Simplify right side
    152,081.20x = 17,841,234,008.50
  5. Step 5: Solve for x
    x = 17,841,234,008.50/152,081.20
  6. Step 6: Final answer
    x = 117,313.87

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