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Finding the Fourth Proportional to 201,066.90, 277,474.25 and 110,424.75

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Solution

The fourth proportional to 201,066.90, 277,474.25 and 110,424.75 is: 152,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,066.90 : 277,474.25 = 110,424.75 : x
  2. Step 2: Convert to fraction form
    201,066.90/277,474.25 = 110,424.75/x
  3. Step 3: Cross multiply
    201,066.90x = 277,474.25 × 110,424.75
  4. Step 4: Simplify right side
    201,066.90x = 30,640,024,135.56
  5. Step 5: Solve for x
    x = 30,640,024,135.56/201,066.90
  6. Step 6: Final answer
    x = 152,387.21

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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.