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Finding the Fourth Proportional to 180,207.52, 270,305.76 and 75,023.84

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Solution

The fourth proportional to 180,207.52, 270,305.76 and 75,023.84 is: 112,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,207.52 : 270,305.76 = 75,023.84 : x
  2. Step 2: Convert to fraction form
    180,207.52/270,305.76 = 75,023.84/x
  3. Step 3: Cross multiply
    180,207.52x = 270,305.76 × 75,023.84
  4. Step 4: Simplify right side
    180,207.52x = 20,279,376,089.32
  5. Step 5: Solve for x
    x = 20,279,376,089.32/180,207.52
  6. Step 6: Final answer
    x = 112,533.46

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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.