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Finding the Fourth Proportional to 229,901.68, 317,160.12 and 166,138.48

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Solution

The fourth proportional to 229,901.68, 317,160.12 and 166,138.48 is: 229,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,901.68 : 317,160.12 = 166,138.48 : x
  2. Step 2: Convert to fraction form
    229,901.68/317,160.12 = 166,138.48/x
  3. Step 3: Cross multiply
    229,901.68x = 317,160.12 × 166,138.48
  4. Step 4: Simplify right side
    229,901.68x = 52,692,500,253.42
  5. Step 5: Solve for x
    x = 52,692,500,253.42/229,901.68
  6. Step 6: Final answer
    x = 229,195.80

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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.