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Finding the Fourth Proportional to 214,773.52, 322,116.48 and 81,607.04

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Solution

The fourth proportional to 214,773.52, 322,116.48 and 81,607.04 is: 122,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,773.52 : 322,116.48 = 81,607.04 : x
  2. Step 2: Convert to fraction form
    214,773.52/322,116.48 = 81,607.04/x
  3. Step 3: Cross multiply
    214,773.52x = 322,116.48 × 81,607.04
  4. Step 4: Simplify right side
    214,773.52x = 26,286,972,468.02
  5. Step 5: Solve for x
    x = 26,286,972,468.02/214,773.52
  6. Step 6: Final answer
    x = 122,393.92

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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.