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Finding the Fourth Proportional to 142,026.30, 195,997.32 and 78,366.36

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Solution

The fourth proportional to 142,026.30, 195,997.32 and 78,366.36 is: 108,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,026.30 : 195,997.32 = 78,366.36 : x
  2. Step 2: Convert to fraction form
    142,026.30/195,997.32 = 78,366.36/x
  3. Step 3: Cross multiply
    142,026.30x = 195,997.32 × 78,366.36
  4. Step 4: Simplify right side
    142,026.30x = 15,359,596,538.16
  5. Step 5: Solve for x
    x = 15,359,596,538.16/142,026.30
  6. Step 6: Final answer
    x = 108,146.14

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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.