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Finding the Fourth Proportional to 178,690.32, 267,994.54 and 106,663.56

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Solution

The fourth proportional to 178,690.32, 267,994.54 and 106,663.56 is: 159,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,690.32 : 267,994.54 = 106,663.56 : x
  2. Step 2: Convert to fraction form
    178,690.32/267,994.54 = 106,663.56/x
  3. Step 3: Cross multiply
    178,690.32x = 267,994.54 × 106,663.56
  4. Step 4: Simplify right side
    178,690.32x = 28,585,251,696.96
  5. Step 5: Solve for x
    x = 28,585,251,696.96/178,690.32
  6. Step 6: Final answer
    x = 159,970.90

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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.