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Finding the Fourth Proportional to 206,883.52, 285,499.50 and 117,459.52

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Solution

The fourth proportional to 206,883.52, 285,499.50 and 117,459.52 is: 162,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,883.52 : 285,499.50 = 117,459.52 : x
  2. Step 2: Convert to fraction form
    206,883.52/285,499.50 = 117,459.52/x
  3. Step 3: Cross multiply
    206,883.52x = 285,499.50 × 117,459.52
  4. Step 4: Simplify right side
    206,883.52x = 33,534,634,230.24
  5. Step 5: Solve for x
    x = 33,534,634,230.24/206,883.52
  6. Step 6: Final answer
    x = 162,094.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.