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Finding the Fourth Proportional to 238,092.01, 357,116.14 and 80,321.83

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Solution

The fourth proportional to 238,092.01, 357,116.14 and 80,321.83 is: 120,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,092.01 : 357,116.14 = 80,321.83 : x
  2. Step 2: Convert to fraction form
    238,092.01/357,116.14 = 80,321.83/x
  3. Step 3: Cross multiply
    238,092.01x = 357,116.14 × 80,321.83
  4. Step 4: Simplify right side
    238,092.01x = 28,684,221,094.95
  5. Step 5: Solve for x
    x = 28,684,221,094.95/238,092.01
  6. Step 6: Final answer
    x = 120,475.36

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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.