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Finding the Fourth Proportional to 189,717.72, 284,723.46 and 71,496.60

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Solution

The fourth proportional to 189,717.72, 284,723.46 and 71,496.60 is: 107,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,717.72 : 284,723.46 = 71,496.60 : x
  2. Step 2: Convert to fraction form
    189,717.72/284,723.46 = 71,496.60/x
  3. Step 3: Cross multiply
    189,717.72x = 284,723.46 × 71,496.60
  4. Step 4: Simplify right side
    189,717.72x = 20,356,759,330.24
  5. Step 5: Solve for x
    x = 20,356,759,330.24/189,717.72
  6. Step 6: Final answer
    x = 107,300.25

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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.