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Finding the Fourth Proportional to 226,378.50, 312,664.77 and 150,795.78

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Solution

The fourth proportional to 226,378.50, 312,664.77 and 150,795.78 is: 208,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,378.50 : 312,664.77 = 150,795.78 : x
  2. Step 2: Convert to fraction form
    226,378.50/312,664.77 = 150,795.78/x
  3. Step 3: Cross multiply
    226,378.50x = 312,664.77 × 150,795.78
  4. Step 4: Simplify right side
    226,378.50x = 47,148,527,870.67
  5. Step 5: Solve for x
    x = 47,148,527,870.67/226,378.50
  6. Step 6: Final answer
    x = 208,272.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.