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Finding the Fourth Proportional to 175,162.94, 262,744.25 and 56,834.27

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Solution

The fourth proportional to 175,162.94, 262,744.25 and 56,834.27 is: 85,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,162.94 : 262,744.25 = 56,834.27 : x
  2. Step 2: Convert to fraction form
    175,162.94/262,744.25 = 56,834.27/x
  3. Step 3: Cross multiply
    175,162.94x = 262,744.25 × 56,834.27
  4. Step 4: Simplify right side
    175,162.94x = 14,932,876,047.55
  5. Step 5: Solve for x
    x = 14,932,876,047.55/175,162.94
  6. Step 6: Final answer
    x = 85,251.35

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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.