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Finding the Fourth Proportional to 216,902.34, 324,929.76 and 149,422.46

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Solution

The fourth proportional to 216,902.34, 324,929.76 and 149,422.46 is: 223,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,902.34 : 324,929.76 = 149,422.46 : x
  2. Step 2: Convert to fraction form
    216,902.34/324,929.76 = 149,422.46/x
  3. Step 3: Cross multiply
    216,902.34x = 324,929.76 × 149,422.46
  4. Step 4: Simplify right side
    216,902.34x = 48,551,802,441.76
  5. Step 5: Solve for x
    x = 48,551,802,441.76/216,902.34
  6. Step 6: Final answer
    x = 223,841.76

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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.