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Finding the Fourth Proportional to 188,358.36, 282,205.40 and 99,415.92

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Solution

The fourth proportional to 188,358.36, 282,205.40 and 99,415.92 is: 148,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,358.36 : 282,205.40 = 99,415.92 : x
  2. Step 2: Convert to fraction form
    188,358.36/282,205.40 = 99,415.92/x
  3. Step 3: Cross multiply
    188,358.36x = 282,205.40 × 99,415.92
  4. Step 4: Simplify right side
    188,358.36x = 28,055,709,469.97
  5. Step 5: Solve for x
    x = 28,055,709,469.97/188,358.36
  6. Step 6: Final answer
    x = 148,948.58

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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.