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Finding the Fourth Proportional to 149,587, 206,433.96 and 81,605.08

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Solution

The fourth proportional to 149,587, 206,433.96 and 81,605.08 is: 112,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,587 : 206,433.96 = 81,605.08 : x
  2. Step 2: Convert to fraction form
    149,587/206,433.96 = 81,605.08/x
  3. Step 3: Cross multiply
    149,587x = 206,433.96 × 81,605.08
  4. Step 4: Simplify right side
    149,587x = 16,846,059,820.52
  5. Step 5: Solve for x
    x = 16,846,059,820.52/149,587
  6. Step 6: Final answer
    x = 112,617.14

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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.