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Finding the Fourth Proportional to 218,784.30, 328,176.45 and 125,213.10

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Solution

The fourth proportional to 218,784.30, 328,176.45 and 125,213.10 is: 187,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,784.30 : 328,176.45 = 125,213.10 : x
  2. Step 2: Convert to fraction form
    218,784.30/328,176.45 = 125,213.10/x
  3. Step 3: Cross multiply
    218,784.30x = 328,176.45 × 125,213.10
  4. Step 4: Simplify right side
    218,784.30x = 41,091,990,651.50
  5. Step 5: Solve for x
    x = 41,091,990,651.50/218,784.30
  6. Step 6: Final answer
    x = 187,819.65

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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.