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Finding the Fourth Proportional to 216,533.43, 324,841.11 and 98,214.03

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Solution

The fourth proportional to 216,533.43, 324,841.11 and 98,214.03 is: 147,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,533.43 : 324,841.11 = 98,214.03 : x
  2. Step 2: Convert to fraction form
    216,533.43/324,841.11 = 98,214.03/x
  3. Step 3: Cross multiply
    216,533.43x = 324,841.11 × 98,214.03
  4. Step 4: Simplify right side
    216,533.43x = 31,903,954,522.77
  5. Step 5: Solve for x
    x = 31,903,954,522.77/216,533.43
  6. Step 6: Final answer
    x = 147,339.63

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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.