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Finding the Fourth Proportional to 256,085.92, 384,082.44 and 69,053.68

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Solution

The fourth proportional to 256,085.92, 384,082.44 and 69,053.68 is: 103,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,085.92 : 384,082.44 = 69,053.68 : x
  2. Step 2: Convert to fraction form
    256,085.92/384,082.44 = 69,053.68/x
  3. Step 3: Cross multiply
    256,085.92x = 384,082.44 × 69,053.68
  4. Step 4: Simplify right side
    256,085.92x = 26,522,305,905.38
  5. Step 5: Solve for x
    x = 26,522,305,905.38/256,085.92
  6. Step 6: Final answer
    x = 103,568.00

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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.