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Finding the Fourth Proportional to 180,319.25, 270,475.69 and 53,959.86

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Solution

The fourth proportional to 180,319.25, 270,475.69 and 53,959.86 is: 80,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,319.25 : 270,475.69 = 53,959.86 : x
  2. Step 2: Convert to fraction form
    180,319.25/270,475.69 = 53,959.86/x
  3. Step 3: Cross multiply
    180,319.25x = 270,475.69 × 53,959.86
  4. Step 4: Simplify right side
    180,319.25x = 14,594,830,365.80
  5. Step 5: Solve for x
    x = 14,594,830,365.80/180,319.25
  6. Step 6: Final answer
    x = 80,938.84

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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.