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Finding the Fourth Proportional to 252,901.17, 349,040.16 and 150,930.95

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Solution

The fourth proportional to 252,901.17, 349,040.16 and 150,930.95 is: 208,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,901.17 : 349,040.16 = 150,930.95 : x
  2. Step 2: Convert to fraction form
    252,901.17/349,040.16 = 150,930.95/x
  3. Step 3: Cross multiply
    252,901.17x = 349,040.16 × 150,930.95
  4. Step 4: Simplify right side
    252,901.17x = 52,680,961,191.75
  5. Step 5: Solve for x
    x = 52,680,961,191.75/252,901.17
  6. Step 6: Final answer
    x = 208,306.51

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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.