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Finding the Fourth Proportional to 229,314.80, 316,443.78 and 127,346.74

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Solution

The fourth proportional to 229,314.80, 316,443.78 and 127,346.74 is: 175,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,314.80 : 316,443.78 = 127,346.74 : x
  2. Step 2: Convert to fraction form
    229,314.80/316,443.78 = 127,346.74/x
  3. Step 3: Cross multiply
    229,314.80x = 316,443.78 × 127,346.74
  4. Step 4: Simplify right side
    229,314.80x = 40,298,083,776.28
  5. Step 5: Solve for x
    x = 40,298,083,776.28/229,314.80
  6. Step 6: Final answer
    x = 175,732.59

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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.