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Finding the Fourth Proportional to 202,677.52, 303,852.30 and 84,437.68

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Solution

The fourth proportional to 202,677.52, 303,852.30 and 84,437.68 is: 126,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,677.52 : 303,852.30 = 84,437.68 : x
  2. Step 2: Convert to fraction form
    202,677.52/303,852.30 = 84,437.68/x
  3. Step 3: Cross multiply
    202,677.52x = 303,852.30 × 84,437.68
  4. Step 4: Simplify right side
    202,677.52x = 25,656,583,274.66
  5. Step 5: Solve for x
    x = 25,656,583,274.66/202,677.52
  6. Step 6: Final answer
    x = 126,588.20

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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.