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Finding the Fourth Proportional to 199,301.50, 275,036.07 and 109,877.50

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Solution

The fourth proportional to 199,301.50, 275,036.07 and 109,877.50 is: 151,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,301.50 : 275,036.07 = 109,877.50 : x
  2. Step 2: Convert to fraction form
    199,301.50/275,036.07 = 109,877.50/x
  3. Step 3: Cross multiply
    199,301.50x = 275,036.07 × 109,877.50
  4. Step 4: Simplify right side
    199,301.50x = 30,220,275,781.43
  5. Step 5: Solve for x
    x = 30,220,275,781.43/199,301.50
  6. Step 6: Final answer
    x = 151,630.95

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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.