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Finding the Fourth Proportional to 183,102, 252,659.49 and 106,637.81

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Solution

The fourth proportional to 183,102, 252,659.49 and 106,637.81 is: 147,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,102 : 252,659.49 = 106,637.81 : x
  2. Step 2: Convert to fraction form
    183,102/252,659.49 = 106,637.81/x
  3. Step 3: Cross multiply
    183,102x = 252,659.49 × 106,637.81
  4. Step 4: Simplify right side
    183,102x = 26,943,053,426.02
  5. Step 5: Solve for x
    x = 26,943,053,426.02/183,102
  6. Step 6: Final answer
    x = 147,147.78

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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.