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Finding the Fourth Proportional to 201,146.88, 301,785.90 and 95,952.18

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Solution

The fourth proportional to 201,146.88, 301,785.90 and 95,952.18 is: 143,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,146.88 : 301,785.90 = 95,952.18 : x
  2. Step 2: Convert to fraction form
    201,146.88/301,785.90 = 95,952.18/x
  3. Step 3: Cross multiply
    201,146.88x = 301,785.90 × 95,952.18
  4. Step 4: Simplify right side
    201,146.88x = 28,957,014,998.26
  5. Step 5: Solve for x
    x = 28,957,014,998.26/201,146.88
  6. Step 6: Final answer
    x = 143,959.55

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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.