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Finding the Fourth Proportional to 101,466.46, 140,024.46 and 61,172.20

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Solution

The fourth proportional to 101,466.46, 140,024.46 and 61,172.20 is: 84,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,466.46 : 140,024.46 = 61,172.20 : x
  2. Step 2: Convert to fraction form
    101,466.46/140,024.46 = 61,172.20/x
  3. Step 3: Cross multiply
    101,466.46x = 140,024.46 × 61,172.20
  4. Step 4: Simplify right side
    101,466.46x = 8,565,604,272.01
  5. Step 5: Solve for x
    x = 8,565,604,272.01/101,466.46
  6. Step 6: Final answer
    x = 84,418.09

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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.