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Finding the Fourth Proportional to 302,616.90, 453,234.15 and 178,200.90

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Solution

The fourth proportional to 302,616.90, 453,234.15 and 178,200.90 is: 266,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,616.90 : 453,234.15 = 178,200.90 : x
  2. Step 2: Convert to fraction form
    302,616.90/453,234.15 = 178,200.90/x
  3. Step 3: Cross multiply
    302,616.90x = 453,234.15 × 178,200.90
  4. Step 4: Simplify right side
    302,616.90x = 80,766,733,440.74
  5. Step 5: Solve for x
    x = 80,766,733,440.74/302,616.90
  6. Step 6: Final answer
    x = 266,894.33

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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.