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Finding the Fourth Proportional to 142,842.34, 197,116.77 and 78,310.18

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Solution

The fourth proportional to 142,842.34, 197,116.77 and 78,310.18 is: 108,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,842.34 : 197,116.77 = 78,310.18 : x
  2. Step 2: Convert to fraction form
    142,842.34/197,116.77 = 78,310.18/x
  3. Step 3: Cross multiply
    142,842.34x = 197,116.77 × 78,310.18
  4. Step 4: Simplify right side
    142,842.34x = 15,436,249,739.72
  5. Step 5: Solve for x
    x = 15,436,249,739.72/142,842.34
  6. Step 6: Final answer
    x = 108,064.95

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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.