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Finding the Fourth Proportional to 201,400.70, 302,091.45 and 68,267.90

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Solution

The fourth proportional to 201,400.70, 302,091.45 and 68,267.90 is: 102,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,400.70 : 302,091.45 = 68,267.90 : x
  2. Step 2: Convert to fraction form
    201,400.70/302,091.45 = 68,267.90/x
  3. Step 3: Cross multiply
    201,400.70x = 302,091.45 × 68,267.90
  4. Step 4: Simplify right side
    201,400.70x = 20,623,148,899.46
  5. Step 5: Solve for x
    x = 20,623,148,899.46/201,400.70
  6. Step 6: Final answer
    x = 102,398.60

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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.