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Finding the Fourth Proportional to 201,642.84, 302,464.26 and 61,401.48

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Solution

The fourth proportional to 201,642.84, 302,464.26 and 61,401.48 is: 92,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642.84 : 302,464.26 = 61,401.48 : x
  2. Step 2: Convert to fraction form
    201,642.84/302,464.26 = 61,401.48/x
  3. Step 3: Cross multiply
    201,642.84x = 302,464.26 × 61,401.48
  4. Step 4: Simplify right side
    201,642.84x = 18,571,753,211.10
  5. Step 5: Solve for x
    x = 18,571,753,211.10/201,642.84
  6. Step 6: Final answer
    x = 92,102.22

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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.