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Finding the Fourth Proportional to 441,714.20, 662,425.50 and 142,123.16

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Solution

The fourth proportional to 441,714.20, 662,425.50 and 142,123.16 is: 213,137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,714.20 : 662,425.50 = 142,123.16 : x
  2. Step 2: Convert to fraction form
    441,714.20/662,425.50 = 142,123.16/x
  3. Step 3: Cross multiply
    441,714.20x = 662,425.50 × 142,123.16
  4. Step 4: Simplify right side
    441,714.20x = 94,146,005,324.58
  5. Step 5: Solve for x
    x = 94,146,005,324.58/441,714.20
  6. Step 6: Final answer
    x = 213,137.83

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