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Finding the Fourth Proportional to 188,001, 282,009.18 and 47,763.24

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Solution

The fourth proportional to 188,001, 282,009.18 and 47,763.24 is: 71,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,001 : 282,009.18 = 47,763.24 : x
  2. Step 2: Convert to fraction form
    188,001/282,009.18 = 47,763.24/x
  3. Step 3: Cross multiply
    188,001x = 282,009.18 × 47,763.24
  4. Step 4: Simplify right side
    188,001x = 13,469,672,146.54
  5. Step 5: Solve for x
    x = 13,469,672,146.54/188,001
  6. Step 6: Final answer
    x = 71,646.81

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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.