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Finding the Fourth Proportional to 162,565.65, 243,717.26 and 149,443.65

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Solution

The fourth proportional to 162,565.65, 243,717.26 and 149,443.65 is: 224,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,565.65 : 243,717.26 = 149,443.65 : x
  2. Step 2: Convert to fraction form
    162,565.65/243,717.26 = 149,443.65/x
  3. Step 3: Cross multiply
    162,565.65x = 243,717.26 × 149,443.65
  4. Step 4: Simplify right side
    162,565.65x = 36,421,996,155.18
  5. Step 5: Solve for x
    x = 36,421,996,155.18/162,565.65
  6. Step 6: Final answer
    x = 224,044.85

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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.