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Finding the Fourth Proportional to 180,458.74, 270,686.89 and 141,049

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Solution

The fourth proportional to 180,458.74, 270,686.89 and 141,049 is: 211,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,458.74 : 270,686.89 = 141,049 : x
  2. Step 2: Convert to fraction form
    180,458.74/270,686.89 = 141,049/x
  3. Step 3: Cross multiply
    180,458.74x = 270,686.89 × 141,049
  4. Step 4: Simplify right side
    180,458.74x = 38,180,115,147.61
  5. Step 5: Solve for x
    x = 38,180,115,147.61/180,458.74
  6. Step 6: Final answer
    x = 211,572.55

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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.