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Finding the Fourth Proportional to 192,123.90, 288,185.85 and 133,074.90

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Solution

The fourth proportional to 192,123.90, 288,185.85 and 133,074.90 is: 199,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,123.90 : 288,185.85 = 133,074.90 : x
  2. Step 2: Convert to fraction form
    192,123.90/288,185.85 = 133,074.90/x
  3. Step 3: Cross multiply
    192,123.90x = 288,185.85 × 133,074.90
  4. Step 4: Simplify right side
    192,123.90x = 38,350,303,170.17
  5. Step 5: Solve for x
    x = 38,350,303,170.17/192,123.90
  6. Step 6: Final answer
    x = 199,612.35

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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.