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Finding the Fourth Proportional to 201,548.48, 302,223.36 and 68,380.16

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Solution

The fourth proportional to 201,548.48, 302,223.36 and 68,380.16 is: 102,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,548.48 : 302,223.36 = 68,380.16 : x
  2. Step 2: Convert to fraction form
    201,548.48/302,223.36 = 68,380.16/x
  3. Step 3: Cross multiply
    201,548.48x = 302,223.36 × 68,380.16
  4. Step 4: Simplify right side
    201,548.48x = 20,666,081,712.54
  5. Step 5: Solve for x
    x = 20,666,081,712.54/201,548.48
  6. Step 6: Final answer
    x = 102,536.53

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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.