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Finding the Fourth Proportional to 119,820.84, 165,323.22 and 73,241.96

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Solution

The fourth proportional to 119,820.84, 165,323.22 and 73,241.96 is: 101,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,820.84 : 165,323.22 = 73,241.96 : x
  2. Step 2: Convert to fraction form
    119,820.84/165,323.22 = 73,241.96/x
  3. Step 3: Cross multiply
    119,820.84x = 165,323.22 × 73,241.96
  4. Step 4: Simplify right side
    119,820.84x = 12,108,595,839.70
  5. Step 5: Solve for x
    x = 12,108,595,839.70/119,820.84
  6. Step 6: Final answer
    x = 101,055.84

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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.