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Finding the Fourth Proportional to 219,178.20, 328,767.30 and 71,434.20

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Solution

The fourth proportional to 219,178.20, 328,767.30 and 71,434.20 is: 107,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,178.20 : 328,767.30 = 71,434.20 : x
  2. Step 2: Convert to fraction form
    219,178.20/328,767.30 = 71,434.20/x
  3. Step 3: Cross multiply
    219,178.20x = 328,767.30 × 71,434.20
  4. Step 4: Simplify right side
    219,178.20x = 23,485,229,061.66
  5. Step 5: Solve for x
    x = 23,485,229,061.66/219,178.20
  6. Step 6: Final answer
    x = 107,151.30

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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.