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Finding the Fourth Proportional to 117,859.35, 162,680.24 and 77,029.43

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Solution

The fourth proportional to 117,859.35, 162,680.24 and 77,029.43 is: 106,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,859.35 : 162,680.24 = 77,029.43 : x
  2. Step 2: Convert to fraction form
    117,859.35/162,680.24 = 77,029.43/x
  3. Step 3: Cross multiply
    117,859.35x = 162,680.24 × 77,029.43
  4. Step 4: Simplify right side
    117,859.35x = 12,531,166,159.46
  5. Step 5: Solve for x
    x = 12,531,166,159.46/117,859.35
  6. Step 6: Final answer
    x = 106,323.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.