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Finding the Fourth Proportional to 190,347.68, 285,933.52 and 123,753.56

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Solution

The fourth proportional to 190,347.68, 285,933.52 and 123,753.56 is: 185,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,347.68 : 285,933.52 = 123,753.56 : x
  2. Step 2: Convert to fraction form
    190,347.68/285,933.52 = 123,753.56/x
  3. Step 3: Cross multiply
    190,347.68x = 285,933.52 × 123,753.56
  4. Step 4: Simplify right side
    190,347.68x = 35,385,291,023.33
  5. Step 5: Solve for x
    x = 35,385,291,023.33/190,347.68
  6. Step 6: Final answer
    x = 185,898.20

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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.