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Finding the Fourth Proportional to 188,083.36, 282,235.38 and 69,836.80

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Solution

The fourth proportional to 188,083.36, 282,235.38 and 69,836.80 is: 104,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,083.36 : 282,235.38 = 69,836.80 : x
  2. Step 2: Convert to fraction form
    188,083.36/282,235.38 = 69,836.80/x
  3. Step 3: Cross multiply
    188,083.36x = 282,235.38 × 69,836.80
  4. Step 4: Simplify right side
    188,083.36x = 19,710,415,785.98
  5. Step 5: Solve for x
    x = 19,710,415,785.98/188,083.36
  6. Step 6: Final answer
    x = 104,796.17

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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.