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Finding the Fourth Proportional to 142,362.75, 196,443.54 and 78,691.89

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Solution

The fourth proportional to 142,362.75, 196,443.54 and 78,691.89 is: 108,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,362.75 : 196,443.54 = 78,691.89 : x
  2. Step 2: Convert to fraction form
    142,362.75/196,443.54 = 78,691.89/x
  3. Step 3: Cross multiply
    142,362.75x = 196,443.54 × 78,691.89
  4. Step 4: Simplify right side
    142,362.75x = 15,458,513,440.89
  5. Step 5: Solve for x
    x = 15,458,513,440.89/142,362.75
  6. Step 6: Final answer
    x = 108,585.38

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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.