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Finding the Fourth Proportional to 283,506.81, 391,257.14 and 156,182.42

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Solution

The fourth proportional to 283,506.81, 391,257.14 and 156,182.42 is: 215,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,506.81 : 391,257.14 = 156,182.42 : x
  2. Step 2: Convert to fraction form
    283,506.81/391,257.14 = 156,182.42/x
  3. Step 3: Cross multiply
    283,506.81x = 391,257.14 × 156,182.42
  4. Step 4: Simplify right side
    283,506.81x = 61,107,484,230.28
  5. Step 5: Solve for x
    x = 61,107,484,230.28/283,506.81
  6. Step 6: Final answer
    x = 215,541.50

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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.