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Finding the Fourth Proportional to 229,391.19, 344,086.65 and 71,633.16

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Solution

The fourth proportional to 229,391.19, 344,086.65 and 71,633.16 is: 107,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,391.19 : 344,086.65 = 71,633.16 : x
  2. Step 2: Convert to fraction form
    229,391.19/344,086.65 = 71,633.16/x
  3. Step 3: Cross multiply
    229,391.19x = 344,086.65 × 71,633.16
  4. Step 4: Simplify right side
    229,391.19x = 24,648,014,053.31
  5. Step 5: Solve for x
    x = 24,648,014,053.31/229,391.19
  6. Step 6: Final answer
    x = 107,449.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.