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Finding the Fourth Proportional to 256,869.40, 385,304.10 and 178,072.60

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Solution

The fourth proportional to 256,869.40, 385,304.10 and 178,072.60 is: 267,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,869.40 : 385,304.10 = 178,072.60 : x
  2. Step 2: Convert to fraction form
    256,869.40/385,304.10 = 178,072.60/x
  3. Step 3: Cross multiply
    256,869.40x = 385,304.10 × 178,072.60
  4. Step 4: Simplify right side
    256,869.40x = 68,612,102,877.66
  5. Step 5: Solve for x
    x = 68,612,102,877.66/256,869.40
  6. Step 6: Final answer
    x = 267,108.90

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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.