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Finding the Fourth Proportional to 243,641.91, 365,217.54 and 101,565.86

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Solution

The fourth proportional to 243,641.91, 365,217.54 and 101,565.86 is: 152,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,641.91 : 365,217.54 = 101,565.86 : x
  2. Step 2: Convert to fraction form
    243,641.91/365,217.54 = 101,565.86/x
  3. Step 3: Cross multiply
    243,641.91x = 365,217.54 × 101,565.86
  4. Step 4: Simplify right side
    243,641.91x = 37,093,631,711.10
  5. Step 5: Solve for x
    x = 37,093,631,711.10/243,641.91
  6. Step 6: Final answer
    x = 152,246.52

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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.