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Finding the Fourth Proportional to 138,314.34, 190,891.98 and 77,896.80

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Solution

The fourth proportional to 138,314.34, 190,891.98 and 77,896.80 is: 107,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,314.34 : 190,891.98 = 77,896.80 : x
  2. Step 2: Convert to fraction form
    138,314.34/190,891.98 = 77,896.80/x
  3. Step 3: Cross multiply
    138,314.34x = 190,891.98 × 77,896.80
  4. Step 4: Simplify right side
    138,314.34x = 14,869,873,043.72
  5. Step 5: Solve for x
    x = 14,869,873,043.72/138,314.34
  6. Step 6: Final answer
    x = 107,507.82

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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.