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Finding the Fourth Proportional to 175,284, 262,794.78 and 56,884.68

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Solution

The fourth proportional to 175,284, 262,794.78 and 56,884.68 is: 85,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,284 : 262,794.78 = 56,884.68 : x
  2. Step 2: Convert to fraction form
    175,284/262,794.78 = 56,884.68/x
  3. Step 3: Cross multiply
    175,284x = 262,794.78 × 56,884.68
  4. Step 4: Simplify right side
    175,284x = 14,948,996,965.97
  5. Step 5: Solve for x
    x = 14,948,996,965.97/175,284
  6. Step 6: Final answer
    x = 85,284.44

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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.