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Finding the Fourth Proportional to 121,164.42, 181,775.37 and 38,058.42

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Solution

The fourth proportional to 121,164.42, 181,775.37 and 38,058.42 is: 57,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,164.42 : 181,775.37 = 38,058.42 : x
  2. Step 2: Convert to fraction form
    121,164.42/181,775.37 = 38,058.42/x
  3. Step 3: Cross multiply
    121,164.42x = 181,775.37 × 38,058.42
  4. Step 4: Simplify right side
    121,164.42x = 6,918,083,377.12
  5. Step 5: Solve for x
    x = 6,918,083,377.12/121,164.42
  6. Step 6: Final answer
    x = 57,096.66

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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.