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Finding the Fourth Proportional to 141,802.80, 212,704.20 and 89,314.80

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Solution

The fourth proportional to 141,802.80, 212,704.20 and 89,314.80 is: 133,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,802.80 : 212,704.20 = 89,314.80 : x
  2. Step 2: Convert to fraction form
    141,802.80/212,704.20 = 89,314.80/x
  3. Step 3: Cross multiply
    141,802.80x = 212,704.20 × 89,314.80
  4. Step 4: Simplify right side
    141,802.80x = 18,997,633,082.16
  5. Step 5: Solve for x
    x = 18,997,633,082.16/141,802.80
  6. Step 6: Final answer
    x = 133,972.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.