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Finding the Fourth Proportional to 268,999.20, 403,455.60 and 81,967.20

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Solution

The fourth proportional to 268,999.20, 403,455.60 and 81,967.20 is: 122,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,999.20 : 403,455.60 = 81,967.20 : x
  2. Step 2: Convert to fraction form
    268,999.20/403,455.60 = 81,967.20/x
  3. Step 3: Cross multiply
    268,999.20x = 403,455.60 × 81,967.20
  4. Step 4: Simplify right side
    268,999.20x = 33,070,125,856.32
  5. Step 5: Solve for x
    x = 33,070,125,856.32/268,999.20
  6. Step 6: Final answer
    x = 122,937.64

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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.