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Finding the Fourth Proportional to 205,928.92, 308,573.43 and 99,197.92

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Solution

The fourth proportional to 205,928.92, 308,573.43 and 99,197.92 is: 148,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,928.92 : 308,573.43 = 99,197.92 : x
  2. Step 2: Convert to fraction form
    205,928.92/308,573.43 = 99,197.92/x
  3. Step 3: Cross multiply
    205,928.92x = 308,573.43 × 99,197.92
  4. Step 4: Simplify right side
    205,928.92x = 30,609,842,423.27
  5. Step 5: Solve for x
    x = 30,609,842,423.27/205,928.92
  6. Step 6: Final answer
    x = 148,642.76

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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.