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Finding the Fourth Proportional to 180,159.84, 270,093.96 and 75,057.48

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Solution

The fourth proportional to 180,159.84, 270,093.96 and 75,057.48 is: 112,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,159.84 : 270,093.96 = 75,057.48 : x
  2. Step 2: Convert to fraction form
    180,159.84/270,093.96 = 75,057.48/x
  3. Step 3: Cross multiply
    180,159.84x = 270,093.96 × 75,057.48
  4. Step 4: Simplify right side
    180,159.84x = 20,272,572,000.82
  5. Step 5: Solve for x
    x = 20,272,572,000.82/180,159.84
  6. Step 6: Final answer
    x = 112,525.48

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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.