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Finding the Fourth Proportional to 142,097.38, 196,089.33 and 78,435.03

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Solution

The fourth proportional to 142,097.38, 196,089.33 and 78,435.03 is: 108,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,097.38 : 196,089.33 = 78,435.03 : x
  2. Step 2: Convert to fraction form
    142,097.38/196,089.33 = 78,435.03/x
  3. Step 3: Cross multiply
    142,097.38x = 196,089.33 × 78,435.03
  4. Step 4: Simplify right side
    142,097.38x = 15,380,272,481.23
  5. Step 5: Solve for x
    x = 15,380,272,481.23/142,097.38
  6. Step 6: Final answer
    x = 108,237.55

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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.