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Finding the Fourth Proportional to 247,476, 371,268.72 and 105,313.80

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Solution

The fourth proportional to 247,476, 371,268.72 and 105,313.80 is: 157,993.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,476 : 371,268.72 = 105,313.80 : x
  2. Step 2: Convert to fraction form
    247,476/371,268.72 = 105,313.80/x
  3. Step 3: Cross multiply
    247,476x = 371,268.72 × 105,313.80
  4. Step 4: Simplify right side
    247,476x = 39,099,719,724.34
  5. Step 5: Solve for x
    x = 39,099,719,724.34/247,476
  6. Step 6: Final answer
    x = 157,993.99

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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.