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Finding the Fourth Proportional to 205,904.70, 308,857.05 and 72,783.90

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Solution

The fourth proportional to 205,904.70, 308,857.05 and 72,783.90 is: 109,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,904.70 : 308,857.05 = 72,783.90 : x
  2. Step 2: Convert to fraction form
    205,904.70/308,857.05 = 72,783.90/x
  3. Step 3: Cross multiply
    205,904.70x = 308,857.05 × 72,783.90
  4. Step 4: Simplify right side
    205,904.70x = 22,479,820,641.50
  5. Step 5: Solve for x
    x = 22,479,820,641.50/205,904.70
  6. Step 6: Final answer
    x = 109,175.85

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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.