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Finding the Fourth Proportional to 256,773.87, 385,085.54 and 96,734.34

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Solution

The fourth proportional to 256,773.87, 385,085.54 and 96,734.34 is: 145,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,773.87 : 385,085.54 = 96,734.34 : x
  2. Step 2: Convert to fraction form
    256,773.87/385,085.54 = 96,734.34/x
  3. Step 3: Cross multiply
    256,773.87x = 385,085.54 × 96,734.34
  4. Step 4: Simplify right side
    256,773.87x = 37,250,995,071.77
  5. Step 5: Solve for x
    x = 37,250,995,071.77/256,773.87
  6. Step 6: Final answer
    x = 145,073.15

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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.