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Finding the Fourth Proportional to 137,199.60, 189,335.97 and 76,774.20

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Solution

The fourth proportional to 137,199.60, 189,335.97 and 76,774.20 is: 105,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,199.60 : 189,335.97 = 76,774.20 : x
  2. Step 2: Convert to fraction form
    137,199.60/189,335.97 = 76,774.20/x
  3. Step 3: Cross multiply
    137,199.60x = 189,335.97 × 76,774.20
  4. Step 4: Simplify right side
    137,199.60x = 14,536,117,627.97
  5. Step 5: Solve for x
    x = 14,536,117,627.97/137,199.60
  6. Step 6: Final answer
    x = 105,948.69

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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.