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Finding the Fourth Proportional to 180,248.52, 270,308.14 and 53,865.24

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Solution

The fourth proportional to 180,248.52, 270,308.14 and 53,865.24 is: 80,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,248.52 : 270,308.14 = 53,865.24 : x
  2. Step 2: Convert to fraction form
    180,248.52/270,308.14 = 53,865.24/x
  3. Step 3: Cross multiply
    180,248.52x = 270,308.14 × 53,865.24
  4. Step 4: Simplify right side
    180,248.52x = 14,560,211,686.74
  5. Step 5: Solve for x
    x = 14,560,211,686.74/180,248.52
  6. Step 6: Final answer
    x = 80,778.54

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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.