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Finding the Fourth Proportional to 146,200.13, 201,756.78 and 79,132.13

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Solution

The fourth proportional to 146,200.13, 201,756.78 and 79,132.13 is: 109,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,200.13 : 201,756.78 = 79,132.13 : x
  2. Step 2: Convert to fraction form
    146,200.13/201,756.78 = 79,132.13/x
  3. Step 3: Cross multiply
    146,200.13x = 201,756.78 × 79,132.13
  4. Step 4: Simplify right side
    146,200.13x = 15,965,442,734.56
  5. Step 5: Solve for x
    x = 15,965,442,734.56/146,200.13
  6. Step 6: Final answer
    x = 109,202.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.