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Finding the Fourth Proportional to 229,132.26, 316,202.69 and 127,157.79

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Solution

The fourth proportional to 229,132.26, 316,202.69 and 127,157.79 is: 175,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,132.26 : 316,202.69 = 127,157.79 : x
  2. Step 2: Convert to fraction form
    229,132.26/316,202.69 = 127,157.79/x
  3. Step 3: Cross multiply
    229,132.26x = 316,202.69 × 127,157.79
  4. Step 4: Simplify right side
    229,132.26x = 40,207,633,817.55
  5. Step 5: Solve for x
    x = 40,207,633,817.55/229,132.26
  6. Step 6: Final answer
    x = 175,477.84

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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.