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Finding the Fourth Proportional to 142,004.40, 195,965.64 and 78,349.20

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Solution

The fourth proportional to 142,004.40, 195,965.64 and 78,349.20 is: 108,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,004.40 : 195,965.64 = 78,349.20 : x
  2. Step 2: Convert to fraction form
    142,004.40/195,965.64 = 78,349.20/x
  3. Step 3: Cross multiply
    142,004.40x = 195,965.64 × 78,349.20
  4. Step 4: Simplify right side
    142,004.40x = 15,353,751,121.49
  5. Step 5: Solve for x
    x = 15,353,751,121.49/142,004.40
  6. Step 6: Final answer
    x = 108,121.66

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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.