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Finding the Fourth Proportional to 149,227.50, 206,108.91 and 98,839.02

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Solution

The fourth proportional to 149,227.50, 206,108.91 and 98,839.02 is: 136,513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,227.50 : 206,108.91 = 98,839.02 : x
  2. Step 2: Convert to fraction form
    149,227.50/206,108.91 = 98,839.02/x
  3. Step 3: Cross multiply
    149,227.50x = 206,108.91 × 98,839.02
  4. Step 4: Simplify right side
    149,227.50x = 20,371,602,677.67
  5. Step 5: Solve for x
    x = 20,371,602,677.67/149,227.50
  6. Step 6: Final answer
    x = 136,513.73

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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.