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Finding the Fourth Proportional to 180,458.49, 270,686.52 and 141,048.75

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Solution

The fourth proportional to 180,458.49, 270,686.52 and 141,048.75 is: 211,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,458.49 : 270,686.52 = 141,048.75 : x
  2. Step 2: Convert to fraction form
    180,458.49/270,686.52 = 141,048.75/x
  3. Step 3: Cross multiply
    180,458.49x = 270,686.52 × 141,048.75
  4. Step 4: Simplify right side
    180,458.49x = 38,179,995,287.85
  5. Step 5: Solve for x
    x = 38,179,995,287.85/180,458.49
  6. Step 6: Final answer
    x = 211,572.18

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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.