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Finding the Fourth Proportional to 256,744.20, 385,116.30 and 172,763.40

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Solution

The fourth proportional to 256,744.20, 385,116.30 and 172,763.40 is: 259,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,744.20 : 385,116.30 = 172,763.40 : x
  2. Step 2: Convert to fraction form
    256,744.20/385,116.30 = 172,763.40/x
  3. Step 3: Cross multiply
    256,744.20x = 385,116.30 × 172,763.40
  4. Step 4: Simplify right side
    256,744.20x = 66,534,001,383.42
  5. Step 5: Solve for x
    x = 66,534,001,383.42/256,744.20
  6. Step 6: Final answer
    x = 259,145.10

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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.