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Finding the Fourth Proportional to 141,843.24, 212,765.52 and 42,005.31

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Solution

The fourth proportional to 141,843.24, 212,765.52 and 42,005.31 is: 63,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,843.24 : 212,765.52 = 42,005.31 : x
  2. Step 2: Convert to fraction form
    141,843.24/212,765.52 = 42,005.31/x
  3. Step 3: Cross multiply
    141,843.24x = 212,765.52 × 42,005.31
  4. Step 4: Simplify right side
    141,843.24x = 8,937,281,624.91
  5. Step 5: Solve for x
    x = 8,937,281,624.91/141,843.24
  6. Step 6: Final answer
    x = 63,008.16

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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.