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Finding the Fourth Proportional to 207,965.68, 287,027.96 and 117,347.33

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Solution

The fourth proportional to 207,965.68, 287,027.96 and 117,347.33 is: 161,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,965.68 : 287,027.96 = 117,347.33 : x
  2. Step 2: Convert to fraction form
    207,965.68/287,027.96 = 117,347.33/x
  3. Step 3: Cross multiply
    207,965.68x = 287,027.96 × 117,347.33
  4. Step 4: Simplify right side
    207,965.68x = 33,681,964,872.18
  5. Step 5: Solve for x
    x = 33,681,964,872.18/207,965.68
  6. Step 6: Final answer
    x = 161,959.25

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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.