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Finding the Fourth Proportional to 149,565.30, 224,299.42 and 49,698.68

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Solution

The fourth proportional to 149,565.30, 224,299.42 and 49,698.68 is: 74,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,565.30 : 224,299.42 = 49,698.68 : x
  2. Step 2: Convert to fraction form
    149,565.30/224,299.42 = 49,698.68/x
  3. Step 3: Cross multiply
    149,565.30x = 224,299.42 × 49,698.68
  4. Step 4: Simplify right side
    149,565.30x = 11,147,385,098.77
  5. Step 5: Solve for x
    x = 11,147,385,098.77/149,565.30
  6. Step 6: Final answer
    x = 74,531.89

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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.