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Finding the Fourth Proportional to 144,191.11, 198,873.12 and 86,770.57

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Solution

The fourth proportional to 144,191.11, 198,873.12 and 86,770.57 is: 119,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,191.11 : 198,873.12 = 86,770.57 : x
  2. Step 2: Convert to fraction form
    144,191.11/198,873.12 = 86,770.57/x
  3. Step 3: Cross multiply
    144,191.11x = 198,873.12 × 86,770.57
  4. Step 4: Simplify right side
    144,191.11x = 17,256,333,980.08
  5. Step 5: Solve for x
    x = 17,256,333,980.08/144,191.11
  6. Step 6: Final answer
    x = 119,676.82

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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.