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Finding the Fourth Proportional to 99,066, 136,713 and 59,322

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Solution

The fourth proportional to 99,066, 136,713 and 59,322 is: 81,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,066 : 136,713 = 59,322 : x
  2. Step 2: Convert to fraction form
    99,066/136,713 = 59,322/x
  3. Step 3: Cross multiply
    99,066x = 136,713 × 59,322
  4. Step 4: Simplify right side
    99,066x = 8,110,088,586
  5. Step 5: Solve for x
    x = 8,110,088,586/99,066
  6. Step 6: Final answer
    x = 81,865.51

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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.