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Finding the Fourth Proportional to 229,521.61, 316,719.65 and 127,540.61

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Solution

The fourth proportional to 229,521.61, 316,719.65 and 127,540.61 is: 175,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,521.61 : 316,719.65 = 127,540.61 : x
  2. Step 2: Convert to fraction form
    229,521.61/316,719.65 = 127,540.61/x
  3. Step 3: Cross multiply
    229,521.61x = 316,719.65 × 127,540.61
  4. Step 4: Simplify right side
    229,521.61x = 40,394,615,776.39
  5. Step 5: Solve for x
    x = 40,394,615,776.39/229,521.61
  6. Step 6: Final answer
    x = 175,994.83

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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.