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Finding the Fourth Proportional to 229,215.30, 343,822.95 and 166,229.70

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Solution

The fourth proportional to 229,215.30, 343,822.95 and 166,229.70 is: 249,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,215.30 : 343,822.95 = 166,229.70 : x
  2. Step 2: Convert to fraction form
    229,215.30/343,822.95 = 166,229.70/x
  3. Step 3: Cross multiply
    229,215.30x = 343,822.95 × 166,229.70
  4. Step 4: Simplify right side
    229,215.30x = 57,153,585,831.62
  5. Step 5: Solve for x
    x = 57,153,585,831.62/229,215.30
  6. Step 6: Final answer
    x = 249,344.55

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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.