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Finding the Fourth Proportional to 149,456.52, 224,029.05 and 65,194.04

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Solution

The fourth proportional to 149,456.52, 224,029.05 and 65,194.04 is: 97,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,456.52 : 224,029.05 = 65,194.04 : x
  2. Step 2: Convert to fraction form
    149,456.52/224,029.05 = 65,194.04/x
  3. Step 3: Cross multiply
    149,456.52x = 224,029.05 × 65,194.04
  4. Step 4: Simplify right side
    149,456.52x = 14,605,358,846.86
  5. Step 5: Solve for x
    x = 14,605,358,846.86/149,456.52
  6. Step 6: Final answer
    x = 97,723.13

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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.