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Finding the Fourth Proportional to 144,965.64, 217,455.31 and 119,618.15

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Solution

The fourth proportional to 144,965.64, 217,455.31 and 119,618.15 is: 179,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,965.64 : 217,455.31 = 119,618.15 : x
  2. Step 2: Convert to fraction form
    144,965.64/217,455.31 = 119,618.15/x
  3. Step 3: Cross multiply
    144,965.64x = 217,455.31 × 119,618.15
  4. Step 4: Simplify right side
    144,965.64x = 26,011,600,952.12
  5. Step 5: Solve for x
    x = 26,011,600,952.12/144,965.64
  6. Step 6: Final answer
    x = 179,432.87

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Why These Related Problems?

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