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Finding the Fourth Proportional to 205,713.30, 308,569.95 and 164,241.30

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Solution

The fourth proportional to 205,713.30, 308,569.95 and 164,241.30 is: 246,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,713.30 : 308,569.95 = 164,241.30 : x
  2. Step 2: Convert to fraction form
    205,713.30/308,569.95 = 164,241.30/x
  3. Step 3: Cross multiply
    205,713.30x = 308,569.95 × 164,241.30
  4. Step 4: Simplify right side
    205,713.30x = 50,679,929,728.94
  5. Step 5: Solve for x
    x = 50,679,929,728.94/205,713.30
  6. Step 6: Final answer
    x = 246,361.95

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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.