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Finding the Fourth Proportional to 149,693.48, 224,601.89 and 109,915.60

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Solution

The fourth proportional to 149,693.48, 224,601.89 and 109,915.60 is: 164,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,693.48 : 224,601.89 = 109,915.60 : x
  2. Step 2: Convert to fraction form
    149,693.48/224,601.89 = 109,915.60/x
  3. Step 3: Cross multiply
    149,693.48x = 224,601.89 × 109,915.60
  4. Step 4: Simplify right side
    149,693.48x = 24,687,251,119.67
  5. Step 5: Solve for x
    x = 24,687,251,119.67/149,693.48
  6. Step 6: Final answer
    x = 164,918.68

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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.