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Finding the Fourth Proportional to 188,493, 282,739.50 and 48,251.64

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Solution

The fourth proportional to 188,493, 282,739.50 and 48,251.64 is: 72,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,493 : 282,739.50 = 48,251.64 : x
  2. Step 2: Convert to fraction form
    188,493/282,739.50 = 48,251.64/x
  3. Step 3: Cross multiply
    188,493x = 282,739.50 × 48,251.64
  4. Step 4: Simplify right side
    188,493x = 13,642,644,567.78
  5. Step 5: Solve for x
    x = 13,642,644,567.78/188,493
  6. Step 6: Final answer
    x = 72,377.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.