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Finding the Fourth Proportional to 201,241.10, 301,861.65 and 96,265.10

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Solution

The fourth proportional to 201,241.10, 301,861.65 and 96,265.10 is: 144,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,241.10 : 301,861.65 = 96,265.10 : x
  2. Step 2: Convert to fraction form
    201,241.10/301,861.65 = 96,265.10/x
  3. Step 3: Cross multiply
    201,241.10x = 301,861.65 × 96,265.10
  4. Step 4: Simplify right side
    201,241.10x = 29,058,741,923.42
  5. Step 5: Solve for x
    x = 29,058,741,923.42/201,241.10
  6. Step 6: Final answer
    x = 144,397.65

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1.5x scale

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.