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Finding the Fourth Proportional to 182,792.35, 252,251.72 and 102,218.95

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Solution

The fourth proportional to 182,792.35, 252,251.72 and 102,218.95 is: 141,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,792.35 : 252,251.72 = 102,218.95 : x
  2. Step 2: Convert to fraction form
    182,792.35/252,251.72 = 102,218.95/x
  3. Step 3: Cross multiply
    182,792.35x = 252,251.72 × 102,218.95
  4. Step 4: Simplify right side
    182,792.35x = 25,784,905,443.00
  5. Step 5: Solve for x
    x = 25,784,905,443.00/182,792.35
  6. Step 6: Final answer
    x = 141,061.18

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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.