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Finding the Fourth Proportional to 202,624.80, 303,751.44 and 77,871.84

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Solution

The fourth proportional to 202,624.80, 303,751.44 and 77,871.84 is: 116,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,624.80 : 303,751.44 = 77,871.84 : x
  2. Step 2: Convert to fraction form
    202,624.80/303,751.44 = 77,871.84/x
  3. Step 3: Cross multiply
    202,624.80x = 303,751.44 × 77,871.84
  4. Step 4: Simplify right side
    202,624.80x = 23,653,683,535.45
  5. Step 5: Solve for x
    x = 23,653,683,535.45/202,624.80
  6. Step 6: Final answer
    x = 116,736.37

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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.