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Finding the Fourth Proportional to 201,109.96, 301,205.67 and 96,002.74

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Solution

The fourth proportional to 201,109.96, 301,205.67 and 96,002.74 is: 143,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,109.96 : 301,205.67 = 96,002.74 : x
  2. Step 2: Convert to fraction form
    201,109.96/301,205.67 = 96,002.74/x
  3. Step 3: Cross multiply
    201,109.96x = 301,205.67 × 96,002.74
  4. Step 4: Simplify right side
    201,109.96x = 28,916,569,623.54
  5. Step 5: Solve for x
    x = 28,916,569,623.54/201,109.96
  6. Step 6: Final answer
    x = 143,784.87

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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.