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Finding the Fourth Proportional to 147,102, 219,980.16 and 109,687.56

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Solution

The fourth proportional to 147,102, 219,980.16 and 109,687.56 is: 164,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,102 : 219,980.16 = 109,687.56 : x
  2. Step 2: Convert to fraction form
    147,102/219,980.16 = 109,687.56/x
  3. Step 3: Cross multiply
    147,102x = 219,980.16 × 109,687.56
  4. Step 4: Simplify right side
    147,102x = 24,129,086,998.81
  5. Step 5: Solve for x
    x = 24,129,086,998.81/147,102
  6. Step 6: Final answer
    x = 164,029.63

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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.