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Finding the Fourth Proportional to 188,750.36, 282,994.32 and 83,511.92

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Solution

The fourth proportional to 188,750.36, 282,994.32 and 83,511.92 is: 125,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,750.36 : 282,994.32 = 83,511.92 : x
  2. Step 2: Convert to fraction form
    188,750.36/282,994.32 = 83,511.92/x
  3. Step 3: Cross multiply
    188,750.36x = 282,994.32 × 83,511.92
  4. Step 4: Simplify right side
    188,750.36x = 23,633,399,012.29
  5. Step 5: Solve for x
    x = 23,633,399,012.29/188,750.36
  6. Step 6: Final answer
    x = 125,209.82

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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.