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Finding the Fourth Proportional to 150,643.74, 225,956.31 and 61,894.96

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Solution

The fourth proportional to 150,643.74, 225,956.31 and 61,894.96 is: 92,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,643.74 : 225,956.31 = 61,894.96 : x
  2. Step 2: Convert to fraction form
    150,643.74/225,956.31 = 61,894.96/x
  3. Step 3: Cross multiply
    150,643.74x = 225,956.31 × 61,894.96
  4. Step 4: Simplify right side
    150,643.74x = 13,985,556,769.20
  5. Step 5: Solve for x
    x = 13,985,556,769.20/150,643.74
  6. Step 6: Final answer
    x = 92,838.62

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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.