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Finding the Fourth Proportional to 178,213.72, 267,376.76 and 107,214

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Solution

The fourth proportional to 178,213.72, 267,376.76 and 107,214 is: 160,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,213.72 : 267,376.76 = 107,214 : x
  2. Step 2: Convert to fraction form
    178,213.72/267,376.76 = 107,214/x
  3. Step 3: Cross multiply
    178,213.72x = 267,376.76 × 107,214
  4. Step 4: Simplify right side
    178,213.72x = 28,666,531,946.64
  5. Step 5: Solve for x
    x = 28,666,531,946.64/178,213.72
  6. Step 6: Final answer
    x = 160,854.80

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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.