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Finding the Fourth Proportional to 200,905.20, 301,357.80 and 156,565.13

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Solution

The fourth proportional to 200,905.20, 301,357.80 and 156,565.13 is: 234,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,905.20 : 301,357.80 = 156,565.13 : x
  2. Step 2: Convert to fraction form
    200,905.20/301,357.80 = 156,565.13/x
  3. Step 3: Cross multiply
    200,905.20x = 301,357.80 × 156,565.13
  4. Step 4: Simplify right side
    200,905.20x = 47,182,121,626.73
  5. Step 5: Solve for x
    x = 47,182,121,626.73/200,905.20
  6. Step 6: Final answer
    x = 234,847.69

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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.