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Finding the Fourth Proportional to 302,565.40, 453,410.70 and 133,947.70

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Solution

The fourth proportional to 302,565.40, 453,410.70 and 133,947.70 is: 200,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,565.40 : 453,410.70 = 133,947.70 : x
  2. Step 2: Convert to fraction form
    302,565.40/453,410.70 = 133,947.70/x
  3. Step 3: Cross multiply
    302,565.40x = 453,410.70 × 133,947.70
  4. Step 4: Simplify right side
    302,565.40x = 60,733,320,420.39
  5. Step 5: Solve for x
    x = 60,733,320,420.39/302,565.40
  6. Step 6: Final answer
    x = 200,727.91

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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.