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Finding the Fourth Proportional to 133,462.56, 200,272.72 and 49,281.68

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Solution

The fourth proportional to 133,462.56, 200,272.72 and 49,281.68 is: 73,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,462.56 : 200,272.72 = 49,281.68 : x
  2. Step 2: Convert to fraction form
    133,462.56/200,272.72 = 49,281.68/x
  3. Step 3: Cross multiply
    133,462.56x = 200,272.72 × 49,281.68
  4. Step 4: Simplify right side
    133,462.56x = 9,869,776,099.77
  5. Step 5: Solve for x
    x = 9,869,776,099.77/133,462.56
  6. Step 6: Final answer
    x = 73,951.65

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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.