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Finding the Fourth Proportional to 216,474.77, 324,357.18 and 152,984.80

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Solution

The fourth proportional to 216,474.77, 324,357.18 and 152,984.80 is: 229,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,474.77 : 324,357.18 = 152,984.80 : x
  2. Step 2: Convert to fraction form
    216,474.77/324,357.18 = 152,984.80/x
  3. Step 3: Cross multiply
    216,474.77x = 324,357.18 × 152,984.80
  4. Step 4: Simplify right side
    216,474.77x = 49,621,718,310.86
  5. Step 5: Solve for x
    x = 49,621,718,310.86/216,474.77
  6. Step 6: Final answer
    x = 229,226.34

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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.