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Finding the Fourth Proportional to 253,446.89, 379,750.54 and 178,199.40

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Solution

The fourth proportional to 253,446.89, 379,750.54 and 178,199.40 is: 267,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,446.89 : 379,750.54 = 178,199.40 : x
  2. Step 2: Convert to fraction form
    253,446.89/379,750.54 = 178,199.40/x
  3. Step 3: Cross multiply
    253,446.89x = 379,750.54 × 178,199.40
  4. Step 4: Simplify right side
    253,446.89x = 67,671,316,033.42
  5. Step 5: Solve for x
    x = 67,671,316,033.42/253,446.89
  6. Step 6: Final answer
    x = 267,003.93

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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.