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Finding the Fourth Proportional to 105,793.12, 158,685.36 and 43,462

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Solution

The fourth proportional to 105,793.12, 158,685.36 and 43,462 is: 65,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,793.12 : 158,685.36 = 43,462 : x
  2. Step 2: Convert to fraction form
    105,793.12/158,685.36 = 43,462/x
  3. Step 3: Cross multiply
    105,793.12x = 158,685.36 × 43,462
  4. Step 4: Simplify right side
    105,793.12x = 6,896,783,116.32
  5. Step 5: Solve for x
    x = 6,896,783,116.32/105,793.12
  6. Step 6: Final answer
    x = 65,191.23

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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.