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Finding the Fourth Proportional to 202,194.70, 303,097.65 and 157,191.10

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Solution

The fourth proportional to 202,194.70, 303,097.65 and 157,191.10 is: 235,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,194.70 : 303,097.65 = 157,191.10 : x
  2. Step 2: Convert to fraction form
    202,194.70/303,097.65 = 157,191.10/x
  3. Step 3: Cross multiply
    202,194.70x = 303,097.65 × 157,191.10
  4. Step 4: Simplify right side
    202,194.70x = 47,644,253,010.92
  5. Step 5: Solve for x
    x = 47,644,253,010.92/202,194.70
  6. Step 6: Final answer
    x = 235,635.52

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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.