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Finding the Fourth Proportional to 189,637.56, 284,361.10 and 63,233.06

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Solution

The fourth proportional to 189,637.56, 284,361.10 and 63,233.06 is: 94,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,637.56 : 284,361.10 = 63,233.06 : x
  2. Step 2: Convert to fraction form
    189,637.56/284,361.10 = 63,233.06/x
  3. Step 3: Cross multiply
    189,637.56x = 284,361.10 × 63,233.06
  4. Step 4: Simplify right side
    189,637.56x = 17,981,020,918.08
  5. Step 5: Solve for x
    x = 17,981,020,918.08/189,637.56
  6. Step 6: Final answer
    x = 94,817.82

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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.