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Finding the Fourth Proportional to 142,608.98, 196,802.72 and 78,077.14

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Solution

The fourth proportional to 142,608.98, 196,802.72 and 78,077.14 is: 107,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,608.98 : 196,802.72 = 78,077.14 : x
  2. Step 2: Convert to fraction form
    142,608.98/196,802.72 = 78,077.14/x
  3. Step 3: Cross multiply
    142,608.98x = 196,802.72 × 78,077.14
  4. Step 4: Simplify right side
    142,608.98x = 15,365,793,521.82
  5. Step 5: Solve for x
    x = 15,365,793,521.82/142,608.98
  6. Step 6: Final answer
    x = 107,747.73

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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.