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Finding the Fourth Proportional to 149,773.76, 224,660.22 and 61,006.40

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Solution

The fourth proportional to 149,773.76, 224,660.22 and 61,006.40 is: 91,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,773.76 : 224,660.22 = 61,006.40 : x
  2. Step 2: Convert to fraction form
    149,773.76/224,660.22 = 61,006.40/x
  3. Step 3: Cross multiply
    149,773.76x = 224,660.22 × 61,006.40
  4. Step 4: Simplify right side
    149,773.76x = 13,705,711,245.41
  5. Step 5: Solve for x
    x = 13,705,711,245.41/149,773.76
  6. Step 6: Final answer
    x = 91,509.43

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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.