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Finding the Fourth Proportional to 149,693.40, 224,543.28 and 53,636.87

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Solution

The fourth proportional to 149,693.40, 224,543.28 and 53,636.87 is: 80,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,693.40 : 224,543.28 = 53,636.87 : x
  2. Step 2: Convert to fraction form
    149,693.40/224,543.28 = 53,636.87/x
  3. Step 3: Cross multiply
    149,693.40x = 224,543.28 × 53,636.87
  4. Step 4: Simplify right side
    149,693.40x = 12,043,798,438.05
  5. Step 5: Solve for x
    x = 12,043,798,438.05/149,693.40
  6. Step 6: Final answer
    x = 80,456.44

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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.