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Finding the Fourth Proportional to 201,284.64, 301,872.96 and 95,893.92

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Solution

The fourth proportional to 201,284.64, 301,872.96 and 95,893.92 is: 143,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,284.64 : 301,872.96 = 95,893.92 : x
  2. Step 2: Convert to fraction form
    201,284.64/301,872.96 = 95,893.92/x
  3. Step 3: Cross multiply
    201,284.64x = 301,872.96 × 95,893.92
  4. Step 4: Simplify right side
    201,284.64x = 28,947,781,476.40
  5. Step 5: Solve for x
    x = 28,947,781,476.40/201,284.64
  6. Step 6: Final answer
    x = 143,815.15

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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.