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Finding the Fourth Proportional to 165,545.86, 228,451.08 and 97,565.71

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Solution

The fourth proportional to 165,545.86, 228,451.08 and 97,565.71 is: 134,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,545.86 : 228,451.08 = 97,565.71 : x
  2. Step 2: Convert to fraction form
    165,545.86/228,451.08 = 97,565.71/x
  3. Step 3: Cross multiply
    165,545.86x = 228,451.08 × 97,565.71
  4. Step 4: Simplify right side
    165,545.86x = 22,288,991,820.47
  5. Step 5: Solve for x
    x = 22,288,991,820.47/165,545.86
  6. Step 6: Final answer
    x = 134,639.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.