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Finding the Fourth Proportional to 137,230.80, 205,846.20 and 113,902.80

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Solution

The fourth proportional to 137,230.80, 205,846.20 and 113,902.80 is: 170,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,230.80 : 205,846.20 = 113,902.80 : x
  2. Step 2: Convert to fraction form
    137,230.80/205,846.20 = 113,902.80/x
  3. Step 3: Cross multiply
    137,230.80x = 205,846.20 × 113,902.80
  4. Step 4: Simplify right side
    137,230.80x = 23,446,458,549.36
  5. Step 5: Solve for x
    x = 23,446,458,549.36/137,230.80
  6. Step 6: Final answer
    x = 170,854.20

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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.