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Finding the Fourth Proportional to 122,891.32, 169,695.30 and 77,647.96

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Solution

The fourth proportional to 122,891.32, 169,695.30 and 77,647.96 is: 107,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,891.32 : 169,695.30 = 77,647.96 : x
  2. Step 2: Convert to fraction form
    122,891.32/169,695.30 = 77,647.96/x
  3. Step 3: Cross multiply
    122,891.32x = 169,695.30 × 77,647.96
  4. Step 4: Simplify right side
    122,891.32x = 13,176,493,866.59
  5. Step 5: Solve for x
    x = 13,176,493,866.59/122,891.32
  6. Step 6: Final answer
    x = 107,220.70

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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.