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Finding the Fourth Proportional to 229,126.32, 316,193.62 and 127,167.16

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Solution

The fourth proportional to 229,126.32, 316,193.62 and 127,167.16 is: 175,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,126.32 : 316,193.62 = 127,167.16 : x
  2. Step 2: Convert to fraction form
    229,126.32/316,193.62 = 127,167.16/x
  3. Step 3: Cross multiply
    229,126.32x = 316,193.62 × 127,167.16
  4. Step 4: Simplify right side
    229,126.32x = 40,209,444,665.52
  5. Step 5: Solve for x
    x = 40,209,444,665.52/229,126.32
  6. Step 6: Final answer
    x = 175,490.29

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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.