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Finding the Fourth Proportional to 256,102.20, 384,153.30 and 172,121.40

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Solution

The fourth proportional to 256,102.20, 384,153.30 and 172,121.40 is: 258,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,102.20 : 384,153.30 = 172,121.40 : x
  2. Step 2: Convert to fraction form
    256,102.20/384,153.30 = 172,121.40/x
  3. Step 3: Cross multiply
    256,102.20x = 384,153.30 × 172,121.40
  4. Step 4: Simplify right side
    256,102.20x = 66,121,003,810.62
  5. Step 5: Solve for x
    x = 66,121,003,810.62/256,102.20
  6. Step 6: Final answer
    x = 258,182.10

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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.