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Finding the Fourth Proportional to 103,081.46, 142,191.33 and 65,290.10

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Solution

The fourth proportional to 103,081.46, 142,191.33 and 65,290.10 is: 90,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,081.46 : 142,191.33 = 65,290.10 : x
  2. Step 2: Convert to fraction form
    103,081.46/142,191.33 = 65,290.10/x
  3. Step 3: Cross multiply
    103,081.46x = 142,191.33 × 65,290.10
  4. Step 4: Simplify right side
    103,081.46x = 9,283,686,154.83
  5. Step 5: Solve for x
    x = 9,283,686,154.83/103,081.46
  6. Step 6: Final answer
    x = 90,061.65

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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.