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Finding the Fourth Proportional to 229,772.41, 317,086.18 and 127,795.43

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Solution

The fourth proportional to 229,772.41, 317,086.18 and 127,795.43 is: 176,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,772.41 : 317,086.18 = 127,795.43 : x
  2. Step 2: Convert to fraction form
    229,772.41/317,086.18 = 127,795.43/x
  3. Step 3: Cross multiply
    229,772.41x = 317,086.18 × 127,795.43
  4. Step 4: Simplify right side
    229,772.41x = 40,522,165,193.38
  5. Step 5: Solve for x
    x = 40,522,165,193.38/229,772.41
  6. Step 6: Final answer
    x = 176,357.84

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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.