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Finding the Fourth Proportional to 205,712.10, 308,568.15 and 197,838.90

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Solution

The fourth proportional to 205,712.10, 308,568.15 and 197,838.90 is: 296,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,712.10 : 308,568.15 = 197,838.90 : x
  2. Step 2: Convert to fraction form
    205,712.10/308,568.15 = 197,838.90/x
  3. Step 3: Cross multiply
    205,712.10x = 308,568.15 × 197,838.90
  4. Step 4: Simplify right side
    205,712.10x = 61,046,783,371.04
  5. Step 5: Solve for x
    x = 61,046,783,371.04/205,712.10
  6. Step 6: Final answer
    x = 296,758.35

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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.