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Finding the Fourth Proportional to 178,857.60, 268,286.40 and 176,233.20

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Solution

The fourth proportional to 178,857.60, 268,286.40 and 176,233.20 is: 264,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,857.60 : 268,286.40 = 176,233.20 : x
  2. Step 2: Convert to fraction form
    178,857.60/268,286.40 = 176,233.20/x
  3. Step 3: Cross multiply
    178,857.60x = 268,286.40 × 176,233.20
  4. Step 4: Simplify right side
    178,857.60x = 47,280,970,788.48
  5. Step 5: Solve for x
    x = 47,280,970,788.48/178,857.60
  6. Step 6: Final answer
    x = 264,349.80

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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.