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Finding the Fourth Proportional to 141,724.80, 212,612.80 and 71,427.20

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Solution

The fourth proportional to 141,724.80, 212,612.80 and 71,427.20 is: 107,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,724.80 : 212,612.80 = 71,427.20 : x
  2. Step 2: Convert to fraction form
    141,724.80/212,612.80 = 71,427.20/x
  3. Step 3: Cross multiply
    141,724.80x = 212,612.80 × 71,427.20
  4. Step 4: Simplify right side
    141,724.80x = 15,186,336,988.16
  5. Step 5: Solve for x
    x = 15,186,336,988.16/141,724.80
  6. Step 6: Final answer
    x = 107,153.70

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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.