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Finding the Fourth Proportional to 201,473.80, 301,865.10 and 96,065.80

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Solution

The fourth proportional to 201,473.80, 301,865.10 and 96,065.80 is: 143,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,473.80 : 301,865.10 = 96,065.80 : x
  2. Step 2: Convert to fraction form
    201,473.80/301,865.10 = 96,065.80/x
  3. Step 3: Cross multiply
    201,473.80x = 301,865.10 × 96,065.80
  4. Step 4: Simplify right side
    201,473.80x = 28,998,912,323.58
  5. Step 5: Solve for x
    x = 28,998,912,323.58/201,473.80
  6. Step 6: Final answer
    x = 143,933.91

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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.