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Finding the Fourth Proportional to 256,113.50, 383,971.29 and 165,965.78

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Solution

The fourth proportional to 256,113.50, 383,971.29 and 165,965.78 is: 248,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,113.50 : 383,971.29 = 165,965.78 : x
  2. Step 2: Convert to fraction form
    256,113.50/383,971.29 = 165,965.78/x
  3. Step 3: Cross multiply
    256,113.50x = 383,971.29 × 165,965.78
  4. Step 4: Simplify right side
    256,113.50x = 63,726,094,642.46
  5. Step 5: Solve for x
    x = 63,726,094,642.46/256,113.50
  6. Step 6: Final answer
    x = 248,819.74

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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.