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Finding the Fourth Proportional to 201,909.70, 302,864.55 and 173,861.43

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Solution

The fourth proportional to 201,909.70, 302,864.55 and 173,861.43 is: 260,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,909.70 : 302,864.55 = 173,861.43 : x
  2. Step 2: Convert to fraction form
    201,909.70/302,864.55 = 173,861.43/x
  3. Step 3: Cross multiply
    201,909.70x = 302,864.55 × 173,861.43
  4. Step 4: Simplify right side
    201,909.70x = 52,656,463,759.31
  5. Step 5: Solve for x
    x = 52,656,463,759.31/201,909.70
  6. Step 6: Final answer
    x = 260,792.15

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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.