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Finding the Fourth Proportional to 201,908.38, 302,527.76 and 122,783.26

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Solution

The fourth proportional to 201,908.38, 302,527.76 and 122,783.26 is: 183,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908.38 : 302,527.76 = 122,783.26 : x
  2. Step 2: Convert to fraction form
    201,908.38/302,527.76 = 122,783.26/x
  3. Step 3: Cross multiply
    201,908.38x = 302,527.76 × 122,783.26
  4. Step 4: Simplify right side
    201,908.38x = 37,145,344,613.30
  5. Step 5: Solve for x
    x = 37,145,344,613.30/201,908.38
  6. Step 6: Final answer
    x = 183,971.29

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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.