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Finding the Fourth Proportional to 105,967.80, 158,894.10 and 43,644.60

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Solution

The fourth proportional to 105,967.80, 158,894.10 and 43,644.60 is: 65,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,967.80 : 158,894.10 = 43,644.60 : x
  2. Step 2: Convert to fraction form
    105,967.80/158,894.10 = 43,644.60/x
  3. Step 3: Cross multiply
    105,967.80x = 158,894.10 × 43,644.60
  4. Step 4: Simplify right side
    105,967.80x = 6,934,869,436.86
  5. Step 5: Solve for x
    x = 6,934,869,436.86/105,967.80
  6. Step 6: Final answer
    x = 65,443.18

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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.