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Finding the Fourth Proportional to 117,137.48, 175,745.10 and 38,254.28

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Solution

The fourth proportional to 117,137.48, 175,745.10 and 38,254.28 is: 57,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,137.48 : 175,745.10 = 38,254.28 : x
  2. Step 2: Convert to fraction form
    117,137.48/175,745.10 = 38,254.28/x
  3. Step 3: Cross multiply
    117,137.48x = 175,745.10 × 38,254.28
  4. Step 4: Simplify right side
    117,137.48x = 6,723,002,264.03
  5. Step 5: Solve for x
    x = 6,723,002,264.03/117,137.48
  6. Step 6: Final answer
    x = 57,394.12

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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.