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Finding the Fourth Proportional to 117,644.83, 176,452.66 and 69,642

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Solution

The fourth proportional to 117,644.83, 176,452.66 and 69,642 is: 104,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,644.83 : 176,452.66 = 69,642 : x
  2. Step 2: Convert to fraction form
    117,644.83/176,452.66 = 69,642/x
  3. Step 3: Cross multiply
    117,644.83x = 176,452.66 × 69,642
  4. Step 4: Simplify right side
    117,644.83x = 12,288,516,234.77
  5. Step 5: Solve for x
    x = 12,288,516,234.77/117,644.83
  6. Step 6: Final answer
    x = 104,454.37

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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.