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Finding the Fourth Proportional to 165,907.80, 248,685.66 and 81,549

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Solution

The fourth proportional to 165,907.80, 248,685.66 and 81,549 is: 122,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,907.80 : 248,685.66 = 81,549 : x
  2. Step 2: Convert to fraction form
    165,907.80/248,685.66 = 81,549/x
  3. Step 3: Cross multiply
    165,907.80x = 248,685.66 × 81,549
  4. Step 4: Simplify right side
    165,907.80x = 20,280,066,887.34
  5. Step 5: Solve for x
    x = 20,280,066,887.34/165,907.80
  6. Step 6: Final answer
    x = 122,236.97

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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.