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Finding the Fourth Proportional to 105,769.80, 158,597.10 and 43,369.80

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Solution

The fourth proportional to 105,769.80, 158,597.10 and 43,369.80 is: 65,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,769.80 : 158,597.10 = 43,369.80 : x
  2. Step 2: Convert to fraction form
    105,769.80/158,597.10 = 43,369.80/x
  3. Step 3: Cross multiply
    105,769.80x = 158,597.10 × 43,369.80
  4. Step 4: Simplify right side
    105,769.80x = 6,878,324,507.58
  5. Step 5: Solve for x
    x = 6,878,324,507.58/105,769.80
  6. Step 6: Final answer
    x = 65,031.08

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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.