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Finding the Fourth Proportional to 137,269.68, 189,550.38 and 86,367.24

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Solution

The fourth proportional to 137,269.68, 189,550.38 and 86,367.24 is: 119,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,269.68 : 189,550.38 = 86,367.24 : x
  2. Step 2: Convert to fraction form
    137,269.68/189,550.38 = 86,367.24/x
  3. Step 3: Cross multiply
    137,269.68x = 189,550.38 × 86,367.24
  4. Step 4: Simplify right side
    137,269.68x = 16,370,943,161.55
  5. Step 5: Solve for x
    x = 16,370,943,161.55/137,269.68
  6. Step 6: Final answer
    x = 119,261.17

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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.