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Finding the Fourth Proportional to 205,937.53, 308,426.54 and 200,261.77

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Solution

The fourth proportional to 205,937.53, 308,426.54 and 200,261.77 is: 299,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,937.53 : 308,426.54 = 200,261.77 : x
  2. Step 2: Convert to fraction form
    205,937.53/308,426.54 = 200,261.77/x
  3. Step 3: Cross multiply
    205,937.53x = 308,426.54 × 200,261.77
  4. Step 4: Simplify right side
    205,937.53x = 61,766,043,043.00
  5. Step 5: Solve for x
    x = 61,766,043,043.00/205,937.53
  6. Step 6: Final answer
    x = 299,926.12

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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.