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Finding the Fourth Proportional to 201,716.01, 302,209.02 and 145,250.42

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Solution

The fourth proportional to 201,716.01, 302,209.02 and 145,250.42 is: 217,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,716.01 : 302,209.02 = 145,250.42 : x
  2. Step 2: Convert to fraction form
    201,716.01/302,209.02 = 145,250.42/x
  3. Step 3: Cross multiply
    201,716.01x = 302,209.02 × 145,250.42
  4. Step 4: Simplify right side
    201,716.01x = 43,895,985,571.74
  5. Step 5: Solve for x
    x = 43,895,985,571.74/201,716.01
  6. Step 6: Final answer
    x = 217,612.80

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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.