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Finding the Fourth Proportional to 205,559.83, 283,674.67 and 114,920.83

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Solution

The fourth proportional to 205,559.83, 283,674.67 and 114,920.83 is: 158,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,559.83 : 283,674.67 = 114,920.83 : x
  2. Step 2: Convert to fraction form
    205,559.83/283,674.67 = 114,920.83/x
  3. Step 3: Cross multiply
    205,559.83x = 283,674.67 × 114,920.83
  4. Step 4: Simplify right side
    205,559.83x = 32,600,128,526.38
  5. Step 5: Solve for x
    x = 32,600,128,526.38/205,559.83
  6. Step 6: Final answer
    x = 158,591.92

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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.