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Finding the Fourth Proportional to 493,165.78, 739,753.62 and 156,200.02

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Solution

The fourth proportional to 493,165.78, 739,753.62 and 156,200.02 is: 234,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,165.78 : 739,753.62 = 156,200.02 : x
  2. Step 2: Convert to fraction form
    493,165.78/739,753.62 = 156,200.02/x
  3. Step 3: Cross multiply
    493,165.78x = 739,753.62 × 156,200.02
  4. Step 4: Simplify right side
    493,165.78x = 115,549,530,239.07
  5. Step 5: Solve for x
    x = 115,549,530,239.07/493,165.78
  6. Step 6: Final answer
    x = 234,301.60

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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.