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Finding the Fourth Proportional to 201,414.90, 302,204.16 and 101,604

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Solution

The fourth proportional to 201,414.90, 302,204.16 and 101,604 is: 152,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,414.90 : 302,204.16 = 101,604 : x
  2. Step 2: Convert to fraction form
    201,414.90/302,204.16 = 101,604/x
  3. Step 3: Cross multiply
    201,414.90x = 302,204.16 × 101,604
  4. Step 4: Simplify right side
    201,414.90x = 30,705,151,472.64
  5. Step 5: Solve for x
    x = 30,705,151,472.64/201,414.90
  6. Step 6: Final answer
    x = 152,447.27

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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.