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Finding the Fourth Proportional to 189,281.38, 283,641.56 and 76,824.78

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Solution

The fourth proportional to 189,281.38, 283,641.56 and 76,824.78 is: 115,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,281.38 : 283,641.56 = 76,824.78 : x
  2. Step 2: Convert to fraction form
    189,281.38/283,641.56 = 76,824.78/x
  3. Step 3: Cross multiply
    189,281.38x = 283,641.56 × 76,824.78
  4. Step 4: Simplify right side
    189,281.38x = 21,790,700,445.86
  5. Step 5: Solve for x
    x = 21,790,700,445.86/189,281.38
  6. Step 6: Final answer
    x = 115,123.32

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1.5x scale

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.