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Finding the Fourth Proportional to 132,874.49, 183,359.84 and 75,506.14

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Solution

The fourth proportional to 132,874.49, 183,359.84 and 75,506.14 is: 104,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,874.49 : 183,359.84 = 75,506.14 : x
  2. Step 2: Convert to fraction form
    132,874.49/183,359.84 = 75,506.14/x
  3. Step 3: Cross multiply
    132,874.49x = 183,359.84 × 75,506.14
  4. Step 4: Simplify right side
    132,874.49x = 13,844,793,749.42
  5. Step 5: Solve for x
    x = 13,844,793,749.42/132,874.49
  6. Step 6: Final answer
    x = 104,194.52

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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.