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Finding the Fourth Proportional to 149,268.38, 205,988.34 and 84,737.06

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Solution

The fourth proportional to 149,268.38, 205,988.34 and 84,737.06 is: 116,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,268.38 : 205,988.34 = 84,737.06 : x
  2. Step 2: Convert to fraction form
    149,268.38/205,988.34 = 84,737.06/x
  3. Step 3: Cross multiply
    149,268.38x = 205,988.34 × 84,737.06
  4. Step 4: Simplify right side
    149,268.38x = 17,454,846,325.88
  5. Step 5: Solve for x
    x = 17,454,846,325.88/149,268.38
  6. Step 6: Final answer
    x = 116,935.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.