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Finding the Fourth Proportional to 283,502.82, 391,251.60 and 156,178.40

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Solution

The fourth proportional to 283,502.82, 391,251.60 and 156,178.40 is: 215,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,502.82 : 391,251.60 = 156,178.40 : x
  2. Step 2: Convert to fraction form
    283,502.82/391,251.60 = 156,178.40/x
  3. Step 3: Cross multiply
    283,502.82x = 391,251.60 × 156,178.40
  4. Step 4: Simplify right side
    283,502.82x = 61,105,048,885.44
  5. Step 5: Solve for x
    x = 61,105,048,885.44/283,502.82
  6. Step 6: Final answer
    x = 215,535.95

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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.