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Finding the Fourth Proportional to 269,241.84, 403,907.04 and 100,820.16

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Solution

The fourth proportional to 269,241.84, 403,907.04 and 100,820.16 is: 151,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,241.84 : 403,907.04 = 100,820.16 : x
  2. Step 2: Convert to fraction form
    269,241.84/403,907.04 = 100,820.16/x
  3. Step 3: Cross multiply
    269,241.84x = 403,907.04 × 100,820.16
  4. Step 4: Simplify right side
    269,241.84x = 40,721,972,397.93
  5. Step 5: Solve for x
    x = 40,721,972,397.93/269,241.84
  6. Step 6: Final answer
    x = 151,246.82

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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.