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Finding the Fourth Proportional to 146,446.88, 202,099.92 and 89,824.80

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Solution

The fourth proportional to 146,446.88, 202,099.92 and 89,824.80 is: 123,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,446.88 : 202,099.92 = 89,824.80 : x
  2. Step 2: Convert to fraction form
    146,446.88/202,099.92 = 89,824.80/x
  3. Step 3: Cross multiply
    146,446.88x = 202,099.92 × 89,824.80
  4. Step 4: Simplify right side
    146,446.88x = 18,153,584,894.02
  5. Step 5: Solve for x
    x = 18,153,584,894.02/146,446.88
  6. Step 6: Final answer
    x = 123,960.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.