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Finding the Fourth Proportional to 273,882.10, 410,823.15 and 86,893.60

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Solution

The fourth proportional to 273,882.10, 410,823.15 and 86,893.60 is: 130,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,882.10 : 410,823.15 = 86,893.60 : x
  2. Step 2: Convert to fraction form
    273,882.10/410,823.15 = 86,893.60/x
  3. Step 3: Cross multiply
    273,882.10x = 410,823.15 × 86,893.60
  4. Step 4: Simplify right side
    273,882.10x = 35,697,902,466.84
  5. Step 5: Solve for x
    x = 35,697,902,466.84/273,882.10
  6. Step 6: Final answer
    x = 130,340.40

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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.