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Finding the Fourth Proportional to 142,084.59, 196,062.77 and 78,418.29

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Solution

The fourth proportional to 142,084.59, 196,062.77 and 78,418.29 is: 108,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,084.59 : 196,062.77 = 78,418.29 : x
  2. Step 2: Convert to fraction form
    142,084.59/196,062.77 = 78,418.29/x
  3. Step 3: Cross multiply
    142,084.59x = 196,062.77 × 78,418.29
  4. Step 4: Simplify right side
    142,084.59x = 15,374,907,156.06
  5. Step 5: Solve for x
    x = 15,374,907,156.06/142,084.59
  6. Step 6: Final answer
    x = 108,209.53

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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.