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Finding the Fourth Proportional to 132,898, 183,399.24 and 73,282

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Solution

The fourth proportional to 132,898, 183,399.24 and 73,282 is: 101,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,898 : 183,399.24 = 73,282 : x
  2. Step 2: Convert to fraction form
    132,898/183,399.24 = 73,282/x
  3. Step 3: Cross multiply
    132,898x = 183,399.24 × 73,282
  4. Step 4: Simplify right side
    132,898x = 13,439,863,105.68
  5. Step 5: Solve for x
    x = 13,439,863,105.68/132,898
  6. Step 6: Final answer
    x = 101,129.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.