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Finding the Fourth Proportional to 188,220.80, 282,317.52 and 61,859.54

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Solution

The fourth proportional to 188,220.80, 282,317.52 and 61,859.54 is: 92,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,220.80 : 282,317.52 = 61,859.54 : x
  2. Step 2: Convert to fraction form
    188,220.80/282,317.52 = 61,859.54/x
  3. Step 3: Cross multiply
    188,220.80x = 282,317.52 × 61,859.54
  4. Step 4: Simplify right side
    188,220.80x = 17,464,031,921.14
  5. Step 5: Solve for x
    x = 17,464,031,921.14/188,220.80
  6. Step 6: Final answer
    x = 92,784.81

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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.