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Finding the Fourth Proportional to 137,431.95, 189,658.22 and 83,719.23

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Solution

The fourth proportional to 137,431.95, 189,658.22 and 83,719.23 is: 115,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,431.95 : 189,658.22 = 83,719.23 : x
  2. Step 2: Convert to fraction form
    137,431.95/189,658.22 = 83,719.23/x
  3. Step 3: Cross multiply
    137,431.95x = 189,658.22 × 83,719.23
  4. Step 4: Simplify right side
    137,431.95x = 15,878,039,722.97
  5. Step 5: Solve for x
    x = 15,878,039,722.97/137,431.95
  6. Step 6: Final answer
    x = 115,533.83

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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.