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Finding the Fourth Proportional to 105,753.60, 158,628.24 and 43,424.64

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Solution

The fourth proportional to 105,753.60, 158,628.24 and 43,424.64 is: 65,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,753.60 : 158,628.24 = 43,424.64 : x
  2. Step 2: Convert to fraction form
    105,753.60/158,628.24 = 43,424.64/x
  3. Step 3: Cross multiply
    105,753.60x = 158,628.24 × 43,424.64
  4. Step 4: Simplify right side
    105,753.60x = 6,888,374,215.83
  5. Step 5: Solve for x
    x = 6,888,374,215.83/105,753.60
  6. Step 6: Final answer
    x = 65,136.07

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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.