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Finding the Fourth Proportional to 188,987.97, 283,474.86 and 46,833.66

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Solution

The fourth proportional to 188,987.97, 283,474.86 and 46,833.66 is: 70,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,987.97 : 283,474.86 = 46,833.66 : x
  2. Step 2: Convert to fraction form
    188,987.97/283,474.86 = 46,833.66/x
  3. Step 3: Cross multiply
    188,987.97x = 283,474.86 × 46,833.66
  4. Step 4: Simplify right side
    188,987.97x = 13,276,165,036.16
  5. Step 5: Solve for x
    x = 13,276,165,036.16/188,987.97
  6. Step 6: Final answer
    x = 70,248.73

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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.