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Finding the Fourth Proportional to 283,939, 425,980.52 and 106,446.52

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Solution

The fourth proportional to 283,939, 425,980.52 and 106,446.52 is: 159,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,939 : 425,980.52 = 106,446.52 : x
  2. Step 2: Convert to fraction form
    283,939/425,980.52 = 106,446.52/x
  3. Step 3: Cross multiply
    283,939x = 425,980.52 × 106,446.52
  4. Step 4: Simplify right side
    283,939x = 45,344,143,941.79
  5. Step 5: Solve for x
    x = 45,344,143,941.79/283,939
  6. Step 6: Final answer
    x = 159,696.78

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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.