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Finding the Fourth Proportional to 142,389.68, 196,480.44 and 78,718.64

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Solution

The fourth proportional to 142,389.68, 196,480.44 and 78,718.64 is: 108,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,389.68 : 196,480.44 = 78,718.64 : x
  2. Step 2: Convert to fraction form
    142,389.68/196,480.44 = 78,718.64/x
  3. Step 3: Cross multiply
    142,389.68x = 196,480.44 × 78,718.64
  4. Step 4: Simplify right side
    142,389.68x = 15,466,673,023.40
  5. Step 5: Solve for x
    x = 15,466,673,023.40/142,389.68
  6. Step 6: Final answer
    x = 108,622.15

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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.