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Finding the Fourth Proportional to 202,057.20, 303,085.80 and 164,732.40

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Solution

The fourth proportional to 202,057.20, 303,085.80 and 164,732.40 is: 247,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,057.20 : 303,085.80 = 164,732.40 : x
  2. Step 2: Convert to fraction form
    202,057.20/303,085.80 = 164,732.40/x
  3. Step 3: Cross multiply
    202,057.20x = 303,085.80 × 164,732.40
  4. Step 4: Simplify right side
    202,057.20x = 49,928,051,239.92
  5. Step 5: Solve for x
    x = 49,928,051,239.92/202,057.20
  6. Step 6: Final answer
    x = 247,098.60

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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.