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Finding the Fourth Proportional to 140,914.62, 194,461.77 and 77,252.47

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Solution

The fourth proportional to 140,914.62, 194,461.77 and 77,252.47 is: 106,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,914.62 : 194,461.77 = 77,252.47 : x
  2. Step 2: Convert to fraction form
    140,914.62/194,461.77 = 77,252.47/x
  3. Step 3: Cross multiply
    140,914.62x = 194,461.77 × 77,252.47
  4. Step 4: Simplify right side
    140,914.62x = 15,022,652,053.07
  5. Step 5: Solve for x
    x = 15,022,652,053.07/140,914.62
  6. Step 6: Final answer
    x = 106,608.19

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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.