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Finding the Fourth Proportional to 189,902.40, 284,675.40 and 71,653.20

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Solution

The fourth proportional to 189,902.40, 284,675.40 and 71,653.20 is: 107,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,902.40 : 284,675.40 = 71,653.20 : x
  2. Step 2: Convert to fraction form
    189,902.40/284,675.40 = 71,653.20/x
  3. Step 3: Cross multiply
    189,902.40x = 284,675.40 × 71,653.20
  4. Step 4: Simplify right side
    189,902.40x = 20,397,903,371.28
  5. Step 5: Solve for x
    x = 20,397,903,371.28/189,902.40
  6. Step 6: Final answer
    x = 107,412.56

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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.