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Finding the Fourth Proportional to 206,014.40, 308,962.08 and 93,632

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Solution

The fourth proportional to 206,014.40, 308,962.08 and 93,632 is: 140,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,014.40 : 308,962.08 = 93,632 : x
  2. Step 2: Convert to fraction form
    206,014.40/308,962.08 = 93,632/x
  3. Step 3: Cross multiply
    206,014.40x = 308,962.08 × 93,632
  4. Step 4: Simplify right side
    206,014.40x = 28,928,737,474.56
  5. Step 5: Solve for x
    x = 28,928,737,474.56/206,014.40
  6. Step 6: Final answer
    x = 140,420.95

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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.