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Finding the Fourth Proportional to 256,895.60, 385,324.20 and 107,097.20

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Solution

The fourth proportional to 256,895.60, 385,324.20 and 107,097.20 is: 160,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,895.60 : 385,324.20 = 107,097.20 : x
  2. Step 2: Convert to fraction form
    256,895.60/385,324.20 = 107,097.20/x
  3. Step 3: Cross multiply
    256,895.60x = 385,324.20 × 107,097.20
  4. Step 4: Simplify right side
    256,895.60x = 41,267,142,912.24
  5. Step 5: Solve for x
    x = 41,267,142,912.24/256,895.60
  6. Step 6: Final answer
    x = 160,637.80

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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.