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Finding the Fourth Proportional to 142,164.60, 196,185.90 and 78,502.92

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Solution

The fourth proportional to 142,164.60, 196,185.90 and 78,502.92 is: 108,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,164.60 : 196,185.90 = 78,502.92 : x
  2. Step 2: Convert to fraction form
    142,164.60/196,185.90 = 78,502.92/x
  3. Step 3: Cross multiply
    142,164.60x = 196,185.90 × 78,502.92
  4. Step 4: Simplify right side
    142,164.60x = 15,401,166,012.83
  5. Step 5: Solve for x
    x = 15,401,166,012.83/142,164.60
  6. Step 6: Final answer
    x = 108,333.34

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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.