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Finding the Fourth Proportional to 92,165.72, 138,140.69 and 35,202.29

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Solution

The fourth proportional to 92,165.72, 138,140.69 and 35,202.29 is: 52,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,165.72 : 138,140.69 = 35,202.29 : x
  2. Step 2: Convert to fraction form
    92,165.72/138,140.69 = 35,202.29/x
  3. Step 3: Cross multiply
    92,165.72x = 138,140.69 × 35,202.29
  4. Step 4: Simplify right side
    92,165.72x = 4,862,867,763.47
  5. Step 5: Solve for x
    x = 4,862,867,763.47/92,165.72
  6. Step 6: Final answer
    x = 52,762.22

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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.