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Finding the Fourth Proportional to 206,599.02, 309,901.28 and 117,746.68

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Solution

The fourth proportional to 206,599.02, 309,901.28 and 117,746.68 is: 176,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,599.02 : 309,901.28 = 117,746.68 : x
  2. Step 2: Convert to fraction form
    206,599.02/309,901.28 = 117,746.68/x
  3. Step 3: Cross multiply
    206,599.02x = 309,901.28 × 117,746.68
  4. Step 4: Simplify right side
    206,599.02x = 36,489,846,936.93
  5. Step 5: Solve for x
    x = 36,489,846,936.93/206,599.02
  6. Step 6: Final answer
    x = 176,621.58

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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.