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Finding the Fourth Proportional to 136,619, 188,535.66 and 77,003

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Solution

The fourth proportional to 136,619, 188,535.66 and 77,003 is: 106,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,619 : 188,535.66 = 77,003 : x
  2. Step 2: Convert to fraction form
    136,619/188,535.66 = 77,003/x
  3. Step 3: Cross multiply
    136,619x = 188,535.66 × 77,003
  4. Step 4: Simplify right side
    136,619x = 14,517,811,426.98
  5. Step 5: Solve for x
    x = 14,517,811,426.98/136,619
  6. Step 6: Final answer
    x = 106,264.95

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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.