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Finding the Fourth Proportional to 321,822.96, 482,803.65 and 108,596.16

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Solution

The fourth proportional to 321,822.96, 482,803.65 and 108,596.16 is: 162,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,822.96 : 482,803.65 = 108,596.16 : x
  2. Step 2: Convert to fraction form
    321,822.96/482,803.65 = 108,596.16/x
  3. Step 3: Cross multiply
    321,822.96x = 482,803.65 × 108,596.16
  4. Step 4: Simplify right side
    321,822.96x = 52,430,622,423.98
  5. Step 5: Solve for x
    x = 52,430,622,423.98/321,822.96
  6. Step 6: Final answer
    x = 162,917.59

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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.