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Finding the Fourth Proportional to 202,471.90, 303,707.85 and 155,232.70

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Solution

The fourth proportional to 202,471.90, 303,707.85 and 155,232.70 is: 232,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,471.90 : 303,707.85 = 155,232.70 : x
  2. Step 2: Convert to fraction form
    202,471.90/303,707.85 = 155,232.70/x
  3. Step 3: Cross multiply
    202,471.90x = 303,707.85 × 155,232.70
  4. Step 4: Simplify right side
    202,471.90x = 47,145,389,566.70
  5. Step 5: Solve for x
    x = 47,145,389,566.70/202,471.90
  6. Step 6: Final answer
    x = 232,849.05

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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.