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Finding the Fourth Proportional to 117,902.90, 176,927.26 and 47,782.82

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Solution

The fourth proportional to 117,902.90, 176,927.26 and 47,782.82 is: 71,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,902.90 : 176,927.26 = 47,782.82 : x
  2. Step 2: Convert to fraction form
    117,902.90/176,927.26 = 47,782.82/x
  3. Step 3: Cross multiply
    117,902.90x = 176,927.26 × 47,782.82
  4. Step 4: Simplify right side
    117,902.90x = 8,454,083,417.67
  5. Step 5: Solve for x
    x = 8,454,083,417.67/117,902.90
  6. Step 6: Final answer
    x = 71,703.78

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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.