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Finding the Fourth Proportional to 142,258.60, 196,323.78 and 78,603.40

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Solution

The fourth proportional to 142,258.60, 196,323.78 and 78,603.40 is: 108,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,258.60 : 196,323.78 = 78,603.40 : x
  2. Step 2: Convert to fraction form
    142,258.60/196,323.78 = 78,603.40/x
  3. Step 3: Cross multiply
    142,258.60x = 196,323.78 × 78,603.40
  4. Step 4: Simplify right side
    142,258.60x = 15,431,716,608.85
  5. Step 5: Solve for x
    x = 15,431,716,608.85/142,258.60
  6. Step 6: Final answer
    x = 108,476.51

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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.