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Finding the Fourth Proportional to 109,489.20, 164,233.80 and 98,602.80

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Solution

The fourth proportional to 109,489.20, 164,233.80 and 98,602.80 is: 147,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,489.20 : 164,233.80 = 98,602.80 : x
  2. Step 2: Convert to fraction form
    109,489.20/164,233.80 = 98,602.80/x
  3. Step 3: Cross multiply
    109,489.20x = 164,233.80 × 98,602.80
  4. Step 4: Simplify right side
    109,489.20x = 16,193,912,534.64
  5. Step 5: Solve for x
    x = 16,193,912,534.64/109,489.20
  6. Step 6: Final answer
    x = 147,904.20

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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.