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Finding the Fourth Proportional to 165,213, 247,824.36 and 40,554

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Solution

The fourth proportional to 165,213, 247,824.36 and 40,554 is: 60,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,213 : 247,824.36 = 40,554 : x
  2. Step 2: Convert to fraction form
    165,213/247,824.36 = 40,554/x
  3. Step 3: Cross multiply
    165,213x = 247,824.36 × 40,554
  4. Step 4: Simplify right side
    165,213x = 10,050,269,095.44
  5. Step 5: Solve for x
    x = 10,050,269,095.44/165,213
  6. Step 6: Final answer
    x = 60,832.19

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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.