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Finding the Fourth Proportional to 123,493, 170,420.52 and 66,904.38

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Solution

The fourth proportional to 123,493, 170,420.52 and 66,904.38 is: 92,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,493 : 170,420.52 = 66,904.38 : x
  2. Step 2: Convert to fraction form
    123,493/170,420.52 = 66,904.38/x
  3. Step 3: Cross multiply
    123,493x = 170,420.52 × 66,904.38
  4. Step 4: Simplify right side
    123,493x = 11,401,879,229.88
  5. Step 5: Solve for x
    x = 11,401,879,229.88/123,493
  6. Step 6: Final answer
    x = 92,328.14

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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.