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Finding the Fourth Proportional to 137,517.39, 189,773.75 and 77,088.02

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Solution

The fourth proportional to 137,517.39, 189,773.75 and 77,088.02 is: 106,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,517.39 : 189,773.75 = 77,088.02 : x
  2. Step 2: Convert to fraction form
    137,517.39/189,773.75 = 77,088.02/x
  3. Step 3: Cross multiply
    137,517.39x = 189,773.75 × 77,088.02
  4. Step 4: Simplify right side
    137,517.39x = 14,629,281,879.33
  5. Step 5: Solve for x
    x = 14,629,281,879.33/137,517.39
  6. Step 6: Final answer
    x = 106,381.32

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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.