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Finding the Fourth Proportional to 252,952.25, 349,093.95 and 144,061.17

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Solution

The fourth proportional to 252,952.25, 349,093.95 and 144,061.17 is: 198,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,952.25 : 349,093.95 = 144,061.17 : x
  2. Step 2: Convert to fraction form
    252,952.25/349,093.95 = 144,061.17/x
  3. Step 3: Cross multiply
    252,952.25x = 349,093.95 × 144,061.17
  4. Step 4: Simplify right side
    252,952.25x = 50,290,881,027.59
  5. Step 5: Solve for x
    x = 50,290,881,027.59/252,952.25
  6. Step 6: Final answer
    x = 198,815.71

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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.