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Finding the Fourth Proportional to 200,909.80, 300,846.30 and 159,437.80

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Solution

The fourth proportional to 200,909.80, 300,846.30 and 159,437.80 is: 238,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909.80 : 300,846.30 = 159,437.80 : x
  2. Step 2: Convert to fraction form
    200,909.80/300,846.30 = 159,437.80/x
  3. Step 3: Cross multiply
    200,909.80x = 300,846.30 × 159,437.80
  4. Step 4: Simplify right side
    200,909.80x = 47,966,272,210.14
  5. Step 5: Solve for x
    x = 47,966,272,210.14/200,909.80
  6. Step 6: Final answer
    x = 238,745.31

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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.