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Finding the Fourth Proportional to 178,387.46, 267,056.30 and 119,076.02

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Solution

The fourth proportional to 178,387.46, 267,056.30 and 119,076.02 is: 178,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,387.46 : 267,056.30 = 119,076.02 : x
  2. Step 2: Convert to fraction form
    178,387.46/267,056.30 = 119,076.02/x
  3. Step 3: Cross multiply
    178,387.46x = 267,056.30 × 119,076.02
  4. Step 4: Simplify right side
    178,387.46x = 31,800,001,319.93
  5. Step 5: Solve for x
    x = 31,800,001,319.93/178,387.46
  6. Step 6: Final answer
    x = 178,263.66

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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.