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Finding the Fourth Proportional to 156,511.38, 234,742.02 and 49,881.48

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Solution

The fourth proportional to 156,511.38, 234,742.02 and 49,881.48 is: 74,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,511.38 : 234,742.02 = 49,881.48 : x
  2. Step 2: Convert to fraction form
    156,511.38/234,742.02 = 49,881.48/x
  3. Step 3: Cross multiply
    156,511.38x = 234,742.02 × 49,881.48
  4. Step 4: Simplify right side
    156,511.38x = 11,709,279,375.79
  5. Step 5: Solve for x
    x = 11,709,279,375.79/156,511.38
  6. Step 6: Final answer
    x = 74,814.24

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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.