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Finding the Fourth Proportional to 142,705.40, 196,934.79 and 78,176.14

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Solution

The fourth proportional to 142,705.40, 196,934.79 and 78,176.14 is: 107,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,705.40 : 196,934.79 = 78,176.14 : x
  2. Step 2: Convert to fraction form
    142,705.40/196,934.79 = 78,176.14/x
  3. Step 3: Cross multiply
    142,705.40x = 196,934.79 × 78,176.14
  4. Step 4: Simplify right side
    142,705.40x = 15,395,601,514.73
  5. Step 5: Solve for x
    x = 15,395,601,514.73/142,705.40
  6. Step 6: Final answer
    x = 107,883.81

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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.