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Finding the Fourth Proportional to 205,691.52, 308,544.07 and 70,754.23

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Solution

The fourth proportional to 205,691.52, 308,544.07 and 70,754.23 is: 106,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,691.52 : 308,544.07 = 70,754.23 : x
  2. Step 2: Convert to fraction form
    205,691.52/308,544.07 = 70,754.23/x
  3. Step 3: Cross multiply
    205,691.52x = 308,544.07 × 70,754.23
  4. Step 4: Simplify right side
    205,691.52x = 21,830,798,093.92
  5. Step 5: Solve for x
    x = 21,830,798,093.92/205,691.52
  6. Step 6: Final answer
    x = 106,133.68

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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.