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Finding the Fourth Proportional to 136,098.97, 187,822.83 and 75,675.82

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Solution

The fourth proportional to 136,098.97, 187,822.83 and 75,675.82 is: 104,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,098.97 : 187,822.83 = 75,675.82 : x
  2. Step 2: Convert to fraction form
    136,098.97/187,822.83 = 75,675.82/x
  3. Step 3: Cross multiply
    136,098.97x = 187,822.83 × 75,675.82
  4. Step 4: Simplify right side
    136,098.97x = 14,213,646,674.97
  5. Step 5: Solve for x
    x = 14,213,646,674.97/136,098.97
  6. Step 6: Final answer
    x = 104,436.11

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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.