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Finding the Fourth Proportional to 149,531.77, 224,391.02 and 99,646.86

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Solution

The fourth proportional to 149,531.77, 224,391.02 and 99,646.86 is: 149,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,531.77 : 224,391.02 = 99,646.86 : x
  2. Step 2: Convert to fraction form
    149,531.77/224,391.02 = 99,646.86/x
  3. Step 3: Cross multiply
    149,531.77x = 224,391.02 × 99,646.86
  4. Step 4: Simplify right side
    149,531.77x = 22,359,861,458.94
  5. Step 5: Solve for x
    x = 22,359,861,458.94/149,531.77
  6. Step 6: Final answer
    x = 149,532.52

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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.