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Finding the Fourth Proportional to 233,863.38, 322,654.86 and 143,124.66

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Solution

The fourth proportional to 233,863.38, 322,654.86 and 143,124.66 is: 197,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,863.38 : 322,654.86 = 143,124.66 : x
  2. Step 2: Convert to fraction form
    233,863.38/322,654.86 = 143,124.66/x
  3. Step 3: Cross multiply
    233,863.38x = 322,654.86 × 143,124.66
  4. Step 4: Simplify right side
    233,863.38x = 46,179,867,134.85
  5. Step 5: Solve for x
    x = 46,179,867,134.85/233,863.38
  6. Step 6: Final answer
    x = 197,465.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.