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Finding the Fourth Proportional to 235,714.92, 353,539.14 and 123,358.20

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Solution

The fourth proportional to 235,714.92, 353,539.14 and 123,358.20 is: 185,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,714.92 : 353,539.14 = 123,358.20 : x
  2. Step 2: Convert to fraction form
    235,714.92/353,539.14 = 123,358.20/x
  3. Step 3: Cross multiply
    235,714.92x = 353,539.14 × 123,358.20
  4. Step 4: Simplify right side
    235,714.92x = 43,611,951,939.95
  5. Step 5: Solve for x
    x = 43,611,951,939.95/235,714.92
  6. Step 6: Final answer
    x = 185,019.90

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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.