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Finding the Fourth Proportional to 114,458, 171,734.25 and 61,805.48

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Solution

The fourth proportional to 114,458, 171,734.25 and 61,805.48 is: 92,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,458 : 171,734.25 = 61,805.48 : x
  2. Step 2: Convert to fraction form
    114,458/171,734.25 = 61,805.48/x
  3. Step 3: Cross multiply
    114,458x = 171,734.25 × 61,805.48
  4. Step 4: Simplify right side
    114,458x = 10,614,117,753.69
  5. Step 5: Solve for x
    x = 10,614,117,753.69/114,458
  6. Step 6: Final answer
    x = 92,733.73

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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.