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Finding the Fourth Proportional to 188,881.20, 283,321.80 and 164,277.45

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Solution

The fourth proportional to 188,881.20, 283,321.80 and 164,277.45 is: 246,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,881.20 : 283,321.80 = 164,277.45 : x
  2. Step 2: Convert to fraction form
    188,881.20/283,321.80 = 164,277.45/x
  3. Step 3: Cross multiply
    188,881.20x = 283,321.80 × 164,277.45
  4. Step 4: Simplify right side
    188,881.20x = 46,543,382,833.41
  5. Step 5: Solve for x
    x = 46,543,382,833.41/188,881.20
  6. Step 6: Final answer
    x = 246,416.18

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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.