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Finding the Fourth Proportional to 123,992.44, 170,820.30 and 86,201.08

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Solution

The fourth proportional to 123,992.44, 170,820.30 and 86,201.08 is: 118,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,992.44 : 170,820.30 = 86,201.08 : x
  2. Step 2: Convert to fraction form
    123,992.44/170,820.30 = 86,201.08/x
  3. Step 3: Cross multiply
    123,992.44x = 170,820.30 × 86,201.08
  4. Step 4: Simplify right side
    123,992.44x = 14,724,894,345.92
  5. Step 5: Solve for x
    x = 14,724,894,345.92/123,992.44
  6. Step 6: Final answer
    x = 118,756.39

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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.