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Finding the Fourth Proportional to 178,300.96, 267,271.30 and 111,787.76

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Solution

The fourth proportional to 178,300.96, 267,271.30 and 111,787.76 is: 167,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,300.96 : 267,271.30 = 111,787.76 : x
  2. Step 2: Convert to fraction form
    178,300.96/267,271.30 = 111,787.76/x
  3. Step 3: Cross multiply
    178,300.96x = 267,271.30 × 111,787.76
  4. Step 4: Simplify right side
    178,300.96x = 29,877,659,939.29
  5. Step 5: Solve for x
    x = 29,877,659,939.29/178,300.96
  6. Step 6: Final answer
    x = 167,568.70

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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.