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Finding the Fourth Proportional to 229,294.64, 316,422.12 and 127,314.84

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Solution

The fourth proportional to 229,294.64, 316,422.12 and 127,314.84 is: 175,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,294.64 : 316,422.12 = 127,314.84 : x
  2. Step 2: Convert to fraction form
    229,294.64/316,422.12 = 127,314.84/x
  3. Step 3: Cross multiply
    229,294.64x = 316,422.12 × 127,314.84
  4. Step 4: Simplify right side
    229,294.64x = 40,285,231,580.26
  5. Step 5: Solve for x
    x = 40,285,231,580.26/229,294.64
  6. Step 6: Final answer
    x = 175,691.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.