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Finding the Fourth Proportional to 221,081.40, 305,132.13 and 130,432.14

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Solution

The fourth proportional to 221,081.40, 305,132.13 and 130,432.14 is: 180,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,081.40 : 305,132.13 = 130,432.14 : x
  2. Step 2: Convert to fraction form
    221,081.40/305,132.13 = 130,432.14/x
  3. Step 3: Cross multiply
    221,081.40x = 305,132.13 × 130,432.14
  4. Step 4: Simplify right side
    221,081.40x = 39,799,036,698.66
  5. Step 5: Solve for x
    x = 39,799,036,698.66/221,081.40
  6. Step 6: Final answer
    x = 180,019.83

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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.