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Finding the Fourth Proportional to 149,672.75, 224,389.91 and 86,421.13

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Solution

The fourth proportional to 149,672.75, 224,389.91 and 86,421.13 is: 129,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,672.75 : 224,389.91 = 86,421.13 : x
  2. Step 2: Convert to fraction form
    149,672.75/224,389.91 = 86,421.13/x
  3. Step 3: Cross multiply
    149,672.75x = 224,389.91 × 86,421.13
  4. Step 4: Simplify right side
    149,672.75x = 19,392,029,237.88
  5. Step 5: Solve for x
    x = 19,392,029,237.88/149,672.75
  6. Step 6: Final answer
    x = 129,562.86

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1.5x scale

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.