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Finding the Fourth Proportional to 142,607.57, 196,645.40 and 120,193.55

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Solution

The fourth proportional to 142,607.57, 196,645.40 and 120,193.55 is: 165,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,607.57 : 196,645.40 = 120,193.55 : x
  2. Step 2: Convert to fraction form
    142,607.57/196,645.40 = 120,193.55/x
  3. Step 3: Cross multiply
    142,607.57x = 196,645.40 × 120,193.55
  4. Step 4: Simplify right side
    142,607.57x = 23,635,508,997.21
  5. Step 5: Solve for x
    x = 23,635,508,997.21/142,607.57
  6. Step 6: Final answer
    x = 165,738.11

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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.