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Finding the Fourth Proportional to 205,691.40, 308,583.54 and 72,573.03

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Solution

The fourth proportional to 205,691.40, 308,583.54 and 72,573.03 is: 108,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,691.40 : 308,583.54 = 72,573.03 : x
  2. Step 2: Convert to fraction form
    205,691.40/308,583.54 = 72,573.03/x
  3. Step 3: Cross multiply
    205,691.40x = 308,583.54 × 72,573.03
  4. Step 4: Simplify right side
    205,691.40x = 22,394,842,505.93
  5. Step 5: Solve for x
    x = 22,394,842,505.93/205,691.40
  6. Step 6: Final answer
    x = 108,875.93

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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.