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Finding the Fourth Proportional to 194,710.38, 268,713.82 and 108,686.10

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Solution

The fourth proportional to 194,710.38, 268,713.82 and 108,686.10 is: 149,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,710.38 : 268,713.82 = 108,686.10 : x
  2. Step 2: Convert to fraction form
    194,710.38/268,713.82 = 108,686.10/x
  3. Step 3: Cross multiply
    194,710.38x = 268,713.82 × 108,686.10
  4. Step 4: Simplify right side
    194,710.38x = 29,205,456,840.19
  5. Step 5: Solve for x
    x = 29,205,456,840.19/194,710.38
  6. Step 6: Final answer
    x = 149,994.35

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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.