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Finding the Fourth Proportional to 256,857.40, 385,287.30 and 90,645.40

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Solution

The fourth proportional to 256,857.40, 385,287.30 and 90,645.40 is: 135,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,857.40 : 385,287.30 = 90,645.40 : x
  2. Step 2: Convert to fraction form
    256,857.40/385,287.30 = 90,645.40/x
  3. Step 3: Cross multiply
    256,857.40x = 385,287.30 × 90,645.40
  4. Step 4: Simplify right side
    256,857.40x = 34,924,521,423.42
  5. Step 5: Solve for x
    x = 34,924,521,423.42/256,857.40
  6. Step 6: Final answer
    x = 135,968.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.