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Finding the Fourth Proportional to 149,833.46, 224,748.65 and 86,613.37

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Solution

The fourth proportional to 149,833.46, 224,748.65 and 86,613.37 is: 129,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,833.46 : 224,748.65 = 86,613.37 : x
  2. Step 2: Convert to fraction form
    149,833.46/224,748.65 = 86,613.37/x
  3. Step 3: Cross multiply
    149,833.46x = 224,748.65 × 86,613.37
  4. Step 4: Simplify right side
    149,833.46x = 19,466,237,634.11
  5. Step 5: Solve for x
    x = 19,466,237,634.11/149,833.46
  6. Step 6: Final answer
    x = 129,919.16

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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.