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Finding the Fourth Proportional to 256,174.92, 383,999.85 and 106,502.04

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Solution

The fourth proportional to 256,174.92, 383,999.85 and 106,502.04 is: 159,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,174.92 : 383,999.85 = 106,502.04 : x
  2. Step 2: Convert to fraction form
    256,174.92/383,999.85 = 106,502.04/x
  3. Step 3: Cross multiply
    256,174.92x = 383,999.85 × 106,502.04
  4. Step 4: Simplify right side
    256,174.92x = 40,896,767,384.69
  5. Step 5: Solve for x
    x = 40,896,767,384.69/256,174.92
  6. Step 6: Final answer
    x = 159,643.92

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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.