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Finding the Fourth Proportional to 178,882.30, 268,332.64 and 45,763.71

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Solution

The fourth proportional to 178,882.30, 268,332.64 and 45,763.71 is: 68,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,882.30 : 268,332.64 = 45,763.71 : x
  2. Step 2: Convert to fraction form
    178,882.30/268,332.64 = 45,763.71/x
  3. Step 3: Cross multiply
    178,882.30x = 268,332.64 × 45,763.71
  4. Step 4: Simplify right side
    178,882.30x = 12,279,897,120.49
  5. Step 5: Solve for x
    x = 12,279,897,120.49/178,882.30
  6. Step 6: Final answer
    x = 68,647.92

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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.