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Finding the Fourth Proportional to 121,134.80, 167,164.32 and 67,419.83

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Solution

The fourth proportional to 121,134.80, 167,164.32 and 67,419.83 is: 93,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,134.80 : 167,164.32 = 67,419.83 : x
  2. Step 2: Convert to fraction form
    121,134.80/167,164.32 = 67,419.83/x
  3. Step 3: Cross multiply
    121,134.80x = 167,164.32 × 67,419.83
  4. Step 4: Simplify right side
    121,134.80x = 11,270,189,200.64
  5. Step 5: Solve for x
    x = 11,270,189,200.64/121,134.80
  6. Step 6: Final answer
    x = 93,038.41

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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.