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Finding the Fourth Proportional to 201,874.51, 302,812.91 and 52,104.56

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Solution

The fourth proportional to 201,874.51, 302,812.91 and 52,104.56 is: 78,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,874.51 : 302,812.91 = 52,104.56 : x
  2. Step 2: Convert to fraction form
    201,874.51/302,812.91 = 52,104.56/x
  3. Step 3: Cross multiply
    201,874.51x = 302,812.91 × 52,104.56
  4. Step 4: Simplify right side
    201,874.51x = 15,777,931,663.28
  5. Step 5: Solve for x
    x = 15,777,931,663.28/201,874.51
  6. Step 6: Final answer
    x = 78,157.13

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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.