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Finding the Fourth Proportional to 256,077.65, 384,157.94 and 96,166.04

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Solution

The fourth proportional to 256,077.65, 384,157.94 and 96,166.04 is: 144,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,077.65 : 384,157.94 = 96,166.04 : x
  2. Step 2: Convert to fraction form
    256,077.65/384,157.94 = 96,166.04/x
  3. Step 3: Cross multiply
    256,077.65x = 384,157.94 × 96,166.04
  4. Step 4: Simplify right side
    256,077.65x = 36,942,945,963.67
  5. Step 5: Solve for x
    x = 36,942,945,963.67/256,077.65
  6. Step 6: Final answer
    x = 144,264.62

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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.