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Finding the Fourth Proportional to 142,609.26, 196,803.11 and 78,077.42

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Solution

The fourth proportional to 142,609.26, 196,803.11 and 78,077.42 is: 107,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,609.26 : 196,803.11 = 78,077.42 : x
  2. Step 2: Convert to fraction form
    142,609.26/196,803.11 = 78,077.42/x
  3. Step 3: Cross multiply
    142,609.26x = 196,803.11 × 78,077.42
  4. Step 4: Simplify right side
    142,609.26x = 15,365,878,287.95
  5. Step 5: Solve for x
    x = 15,365,878,287.95/142,609.26
  6. Step 6: Final answer
    x = 107,748.11

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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.