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Finding the Fourth Proportional to 208,098.40, 312,293.40 and 133,400.20

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Solution

The fourth proportional to 208,098.40, 312,293.40 and 133,400.20 is: 200,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,098.40 : 312,293.40 = 133,400.20 : x
  2. Step 2: Convert to fraction form
    208,098.40/312,293.40 = 133,400.20/x
  3. Step 3: Cross multiply
    208,098.40x = 312,293.40 × 133,400.20
  4. Step 4: Simplify right side
    208,098.40x = 41,660,002,018.68
  5. Step 5: Solve for x
    x = 41,660,002,018.68/208,098.40
  6. Step 6: Final answer
    x = 200,193.76

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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.