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Finding the Fourth Proportional to 207,805.94, 286,766.46 and 117,161.11

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Solution

The fourth proportional to 207,805.94, 286,766.46 and 117,161.11 is: 161,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,805.94 : 286,766.46 = 117,161.11 : x
  2. Step 2: Convert to fraction form
    207,805.94/286,766.46 = 117,161.11/x
  3. Step 3: Cross multiply
    207,805.94x = 286,766.46 × 117,161.11
  4. Step 4: Simplify right side
    207,805.94x = 33,597,877,122.83
  5. Step 5: Solve for x
    x = 33,597,877,122.83/207,805.94
  6. Step 6: Final answer
    x = 161,679.10

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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.