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Finding the Fourth Proportional to 121,323.31, 181,978.33 and 37,083.44

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Solution

The fourth proportional to 121,323.31, 181,978.33 and 37,083.44 is: 55,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,323.31 : 181,978.33 = 37,083.44 : x
  2. Step 2: Convert to fraction form
    121,323.31/181,978.33 = 37,083.44/x
  3. Step 3: Cross multiply
    121,323.31x = 181,978.33 × 37,083.44
  4. Step 4: Simplify right side
    121,323.31x = 6,748,382,481.86
  5. Step 5: Solve for x
    x = 6,748,382,481.86/121,323.31
  6. Step 6: Final answer
    x = 55,623.13

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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.