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Finding the Fourth Proportional to 142,167.35, 196,189.73 and 78,503.78

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Solution

The fourth proportional to 142,167.35, 196,189.73 and 78,503.78 is: 108,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,167.35 : 196,189.73 = 78,503.78 : x
  2. Step 2: Convert to fraction form
    142,167.35/196,189.73 = 78,503.78/x
  3. Step 3: Cross multiply
    142,167.35x = 196,189.73 × 78,503.78
  4. Step 4: Simplify right side
    142,167.35x = 15,401,635,794.52
  5. Step 5: Solve for x
    x = 15,401,635,794.52/142,167.35
  6. Step 6: Final answer
    x = 108,334.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.