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Finding the Fourth Proportional to 100,883.49, 151,246.79 and 65,269.56

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Solution

The fourth proportional to 100,883.49, 151,246.79 and 65,269.56 is: 97,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,883.49 : 151,246.79 = 65,269.56 : x
  2. Step 2: Convert to fraction form
    100,883.49/151,246.79 = 65,269.56/x
  3. Step 3: Cross multiply
    100,883.49x = 151,246.79 × 65,269.56
  4. Step 4: Simplify right side
    100,883.49x = 9,871,811,108.36
  5. Step 5: Solve for x
    x = 9,871,811,108.36/100,883.49
  6. Step 6: Final answer
    x = 97,853.58

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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.