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Finding the Fourth Proportional to 188,098.21, 282,016.09 and 69,737.77

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Solution

The fourth proportional to 188,098.21, 282,016.09 and 69,737.77 is: 104,558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,098.21 : 282,016.09 = 69,737.77 : x
  2. Step 2: Convert to fraction form
    188,098.21/282,016.09 = 69,737.77/x
  3. Step 3: Cross multiply
    188,098.21x = 282,016.09 × 69,737.77
  4. Step 4: Simplify right side
    188,098.21x = 19,667,172,341.33
  5. Step 5: Solve for x
    x = 19,667,172,341.33/188,098.21
  6. Step 6: Final answer
    x = 104,558.00

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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.