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Finding the Fourth Proportional to 132,399, 182,714.67 and 75,036.90

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Solution

The fourth proportional to 132,399, 182,714.67 and 75,036.90 is: 103,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,399 : 182,714.67 = 75,036.90 : x
  2. Step 2: Convert to fraction form
    132,399/182,714.67 = 75,036.90/x
  3. Step 3: Cross multiply
    132,399x = 182,714.67 × 75,036.90
  4. Step 4: Simplify right side
    132,399x = 13,710,342,421.32
  5. Step 5: Solve for x
    x = 13,710,342,421.32/132,399
  6. Step 6: Final answer
    x = 103,553.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.