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Finding the Fourth Proportional to 229,510, 316,716.96 and 127,535.14

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Solution

The fourth proportional to 229,510, 316,716.96 and 127,535.14 is: 175,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,510 : 316,716.96 = 127,535.14 : x
  2. Step 2: Convert to fraction form
    229,510/316,716.96 = 127,535.14/x
  3. Step 3: Cross multiply
    229,510x = 316,716.96 × 127,535.14
  4. Step 4: Simplify right side
    229,510x = 40,392,541,833.97
  5. Step 5: Solve for x
    x = 40,392,541,833.97/229,510
  6. Step 6: Final answer
    x = 175,994.69

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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.