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Finding the Fourth Proportional to 283,969.20, 391,871.22 and 156,644.76

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Solution

The fourth proportional to 283,969.20, 391,871.22 and 156,644.76 is: 216,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,969.20 : 391,871.22 = 156,644.76 : x
  2. Step 2: Convert to fraction form
    283,969.20/391,871.22 = 156,644.76/x
  3. Step 3: Cross multiply
    283,969.20x = 391,871.22 × 156,644.76
  4. Step 4: Simplify right side
    283,969.20x = 61,384,573,207.81
  5. Step 5: Solve for x
    x = 61,384,573,207.81/283,969.20
  6. Step 6: Final answer
    x = 216,166.31

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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.