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Finding the Fourth Proportional to 178,764.76, 268,143.90 and 150,864.04

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Solution

The fourth proportional to 178,764.76, 268,143.90 and 150,864.04 is: 226,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,764.76 : 268,143.90 = 150,864.04 : x
  2. Step 2: Convert to fraction form
    178,764.76/268,143.90 = 150,864.04/x
  3. Step 3: Cross multiply
    178,764.76x = 268,143.90 × 150,864.04
  4. Step 4: Simplify right side
    178,764.76x = 40,453,272,055.36
  5. Step 5: Solve for x
    x = 40,453,272,055.36/178,764.76
  6. Step 6: Final answer
    x = 226,293.33

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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.