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Finding the Fourth Proportional to 216,902.39, 299,170.80 and 132,024.92

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Solution

The fourth proportional to 216,902.39, 299,170.80 and 132,024.92 is: 182,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,902.39 : 299,170.80 = 132,024.92 : x
  2. Step 2: Convert to fraction form
    216,902.39/299,170.80 = 132,024.92/x
  3. Step 3: Cross multiply
    216,902.39x = 299,170.80 × 132,024.92
  4. Step 4: Simplify right side
    216,902.39x = 39,497,999,440.48
  5. Step 5: Solve for x
    x = 39,497,999,440.48/216,902.39
  6. Step 6: Final answer
    x = 182,100.35

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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.