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Finding the Fourth Proportional to 140,924.80, 194,475.90 and 77,268.52

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Solution

The fourth proportional to 140,924.80, 194,475.90 and 77,268.52 is: 106,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,924.80 : 194,475.90 = 77,268.52 : x
  2. Step 2: Convert to fraction form
    140,924.80/194,475.90 = 77,268.52/x
  3. Step 3: Cross multiply
    140,924.80x = 194,475.90 × 77,268.52
  4. Step 4: Simplify right side
    140,924.80x = 15,026,864,968.67
  5. Step 5: Solve for x
    x = 15,026,864,968.67/140,924.80
  6. Step 6: Final answer
    x = 106,630.38

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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.