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Finding the Fourth Proportional to 137,201.79, 189,315.85 and 86,178.17

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Solution

The fourth proportional to 137,201.79, 189,315.85 and 86,178.17 is: 118,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,201.79 : 189,315.85 = 86,178.17 : x
  2. Step 2: Convert to fraction form
    137,201.79/189,315.85 = 86,178.17/x
  3. Step 3: Cross multiply
    137,201.79x = 189,315.85 × 86,178.17
  4. Step 4: Simplify right side
    137,201.79x = 16,314,893,028.41
  5. Step 5: Solve for x
    x = 16,314,893,028.41/137,201.79
  6. Step 6: Final answer
    x = 118,911.66

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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.