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Finding the Fourth Proportional to 216,894.74, 324,098.86 and 165,318

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Solution

The fourth proportional to 216,894.74, 324,098.86 and 165,318 is: 247,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,894.74 : 324,098.86 = 165,318 : x
  2. Step 2: Convert to fraction form
    216,894.74/324,098.86 = 165,318/x
  3. Step 3: Cross multiply
    216,894.74x = 324,098.86 × 165,318
  4. Step 4: Simplify right side
    216,894.74x = 53,579,375,337.48
  5. Step 5: Solve for x
    x = 53,579,375,337.48/216,894.74
  6. Step 6: Final answer
    x = 247,029.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.