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Finding the Fourth Proportional to 189,792.81, 284,700.96 and 63,444.42

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Solution

The fourth proportional to 189,792.81, 284,700.96 and 63,444.42 is: 95,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,792.81 : 284,700.96 = 63,444.42 : x
  2. Step 2: Convert to fraction form
    189,792.81/284,700.96 = 63,444.42/x
  3. Step 3: Cross multiply
    189,792.81x = 284,700.96 × 63,444.42
  4. Step 4: Simplify right side
    189,792.81x = 18,062,687,280.64
  5. Step 5: Solve for x
    x = 18,062,687,280.64/189,792.81
  6. Step 6: Final answer
    x = 95,170.56

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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.