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Finding the Fourth Proportional to 99,843.54, 149,806.08 and 64,323.42

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Solution

The fourth proportional to 99,843.54, 149,806.08 and 64,323.42 is: 96,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,843.54 : 149,806.08 = 64,323.42 : x
  2. Step 2: Convert to fraction form
    99,843.54/149,806.08 = 64,323.42/x
  3. Step 3: Cross multiply
    99,843.54x = 149,806.08 × 64,323.42
  4. Step 4: Simplify right side
    99,843.54x = 9,636,039,402.39
  5. Step 5: Solve for x
    x = 9,636,039,402.39/99,843.54
  6. Step 6: Final answer
    x = 96,511.40

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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.