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Finding the Fourth Proportional to 283,669, 425,576.42 and 106,178.56

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Solution

The fourth proportional to 283,669, 425,576.42 and 106,178.56 is: 159,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,669 : 425,576.42 = 106,178.56 : x
  2. Step 2: Convert to fraction form
    283,669/425,576.42 = 106,178.56/x
  3. Step 3: Cross multiply
    283,669x = 425,576.42 × 106,178.56
  4. Step 4: Simplify right side
    283,669x = 45,187,091,445.56
  5. Step 5: Solve for x
    x = 45,187,091,445.56/283,669
  6. Step 6: Final answer
    x = 159,295.13

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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.