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Finding the Fourth Proportional to 100,823.80, 151,284.30 and 71,177.80

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Solution

The fourth proportional to 100,823.80, 151,284.30 and 71,177.80 is: 106,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,823.80 : 151,284.30 = 71,177.80 : x
  2. Step 2: Convert to fraction form
    100,823.80/151,284.30 = 71,177.80/x
  3. Step 3: Cross multiply
    100,823.80x = 151,284.30 × 71,177.80
  4. Step 4: Simplify right side
    100,823.80x = 10,768,083,648.54
  5. Step 5: Solve for x
    x = 10,768,083,648.54/100,823.80
  6. Step 6: Final answer
    x = 106,801.01

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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.