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Finding the Fourth Proportional to 205,880.49, 308,845.65 and 72,733.50

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Solution

The fourth proportional to 205,880.49, 308,845.65 and 72,733.50 is: 109,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,880.49 : 308,845.65 = 72,733.50 : x
  2. Step 2: Convert to fraction form
    205,880.49/308,845.65 = 72,733.50/x
  3. Step 3: Cross multiply
    205,880.49x = 308,845.65 × 72,733.50
  4. Step 4: Simplify right side
    205,880.49x = 22,463,425,084.28
  5. Step 5: Solve for x
    x = 22,463,425,084.28/205,880.49
  6. Step 6: Final answer
    x = 109,109.05

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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.