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Finding the Fourth Proportional to 205,746.72, 308,644.92 and 72,599.64

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Solution

The fourth proportional to 205,746.72, 308,644.92 and 72,599.64 is: 108,908.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,746.72 : 308,644.92 = 72,599.64 : x
  2. Step 2: Convert to fraction form
    205,746.72/308,644.92 = 72,599.64/x
  3. Step 3: Cross multiply
    205,746.72x = 308,644.92 × 72,599.64
  4. Step 4: Simplify right side
    205,746.72x = 22,407,510,079.83
  5. Step 5: Solve for x
    x = 22,407,510,079.83/205,746.72
  6. Step 6: Final answer
    x = 108,908.23

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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.