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Finding the Fourth Proportional to 201,487.82, 278,053.77 and 110,849.66

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Solution

The fourth proportional to 201,487.82, 278,053.77 and 110,849.66 is: 152,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,487.82 : 278,053.77 = 110,849.66 : x
  2. Step 2: Convert to fraction form
    201,487.82/278,053.77 = 110,849.66/x
  3. Step 3: Cross multiply
    201,487.82x = 278,053.77 × 110,849.66
  4. Step 4: Simplify right side
    201,487.82x = 30,822,165,866.22
  5. Step 5: Solve for x
    x = 30,822,165,866.22/201,487.82
  6. Step 6: Final answer
    x = 152,972.85

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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.