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Finding the Fourth Proportional to 124,824, 172,257.12 and 68,235.78

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Solution

The fourth proportional to 124,824, 172,257.12 and 68,235.78 is: 94,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,824 : 172,257.12 = 68,235.78 : x
  2. Step 2: Convert to fraction form
    124,824/172,257.12 = 68,235.78/x
  3. Step 3: Cross multiply
    124,824x = 172,257.12 × 68,235.78
  4. Step 4: Simplify right side
    124,824x = 11,754,098,943.75
  5. Step 5: Solve for x
    x = 11,754,098,943.75/124,824
  6. Step 6: Final answer
    x = 94,165.38

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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.