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Finding the Fourth Proportional to 205,063.88, 307,732.50 and 78,808.37

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Solution

The fourth proportional to 205,063.88, 307,732.50 and 78,808.37 is: 118,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,063.88 : 307,732.50 = 78,808.37 : x
  2. Step 2: Convert to fraction form
    205,063.88/307,732.50 = 78,808.37/x
  3. Step 3: Cross multiply
    205,063.88x = 307,732.50 × 78,808.37
  4. Step 4: Simplify right side
    205,063.88x = 24,251,895,182.36
  5. Step 5: Solve for x
    x = 24,251,895,182.36/205,063.88
  6. Step 6: Final answer
    x = 118,265.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.