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Finding the Fourth Proportional to 205,587.44, 308,649.71 and 165,082.58

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Solution

The fourth proportional to 205,587.44, 308,649.71 and 165,082.58 is: 247,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,587.44 : 308,649.71 = 165,082.58 : x
  2. Step 2: Convert to fraction form
    205,587.44/308,649.71 = 165,082.58/x
  3. Step 3: Cross multiply
    205,587.44x = 308,649.71 × 165,082.58
  4. Step 4: Simplify right side
    205,587.44x = 50,952,689,312.51
  5. Step 5: Solve for x
    x = 50,952,689,312.51/205,587.44
  6. Step 6: Final answer
    x = 247,839.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.