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Finding the Fourth Proportional to 201,411.80, 301,772.10 and 96,003.80

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Solution

The fourth proportional to 201,411.80, 301,772.10 and 96,003.80 is: 143,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,411.80 : 301,772.10 = 96,003.80 : x
  2. Step 2: Convert to fraction form
    201,411.80/301,772.10 = 96,003.80/x
  3. Step 3: Cross multiply
    201,411.80x = 301,772.10 × 96,003.80
  4. Step 4: Simplify right side
    201,411.80x = 28,971,268,333.98
  5. Step 5: Solve for x
    x = 28,971,268,333.98/201,411.80
  6. Step 6: Final answer
    x = 143,840.97

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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.