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Finding the Fourth Proportional to 132,545.66, 198,832.29 and 42,565.64

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Solution

The fourth proportional to 132,545.66, 198,832.29 and 42,565.64 is: 63,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,545.66 : 198,832.29 = 42,565.64 : x
  2. Step 2: Convert to fraction form
    132,545.66/198,832.29 = 42,565.64/x
  3. Step 3: Cross multiply
    132,545.66x = 198,832.29 × 42,565.64
  4. Step 4: Simplify right side
    132,545.66x = 8,463,422,682.35
  5. Step 5: Solve for x
    x = 8,463,422,682.35/132,545.66
  6. Step 6: Final answer
    x = 63,852.89

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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.