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Finding the Fourth Proportional to 146,177.64, 219,265.50 and 112,945.64

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Solution

The fourth proportional to 146,177.64, 219,265.50 and 112,945.64 is: 169,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,177.64 : 219,265.50 = 112,945.64 : x
  2. Step 2: Convert to fraction form
    146,177.64/219,265.50 = 112,945.64/x
  3. Step 3: Cross multiply
    146,177.64x = 219,265.50 × 112,945.64
  4. Step 4: Simplify right side
    146,177.64x = 24,765,082,227.42
  5. Step 5: Solve for x
    x = 24,765,082,227.42/146,177.64
  6. Step 6: Final answer
    x = 169,417.72

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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.