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Finding the Fourth Proportional to 194,327, 268,287.90 and 127,375.64

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Solution

The fourth proportional to 194,327, 268,287.90 and 127,375.64 is: 175,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,327 : 268,287.90 = 127,375.64 : x
  2. Step 2: Convert to fraction form
    194,327/268,287.90 = 127,375.64/x
  3. Step 3: Cross multiply
    194,327x = 268,287.90 × 127,375.64
  4. Step 4: Simplify right side
    194,327x = 34,173,342,966.76
  5. Step 5: Solve for x
    x = 34,173,342,966.76/194,327
  6. Step 6: Final answer
    x = 175,854.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.