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Finding the Fourth Proportional to 202,145.20, 303,023.40 and 157,141.60

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Solution

The fourth proportional to 202,145.20, 303,023.40 and 157,141.60 is: 235,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,145.20 : 303,023.40 = 157,141.60 : x
  2. Step 2: Convert to fraction form
    202,145.20/303,023.40 = 157,141.60/x
  3. Step 3: Cross multiply
    202,145.20x = 303,023.40 × 157,141.60
  4. Step 4: Simplify right side
    202,145.20x = 47,617,581,913.44
  5. Step 5: Solve for x
    x = 47,617,581,913.44/202,145.20
  6. Step 6: Final answer
    x = 235,561.28

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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.