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Finding the Fourth Proportional to 201,337.30, 301,677.90 and 148,193.20

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Solution

The fourth proportional to 201,337.30, 301,677.90 and 148,193.20 is: 222,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,337.30 : 301,677.90 = 148,193.20 : x
  2. Step 2: Convert to fraction form
    201,337.30/301,677.90 = 148,193.20/x
  3. Step 3: Cross multiply
    201,337.30x = 301,677.90 × 148,193.20
  4. Step 4: Simplify right side
    201,337.30x = 44,706,613,370.28
  5. Step 5: Solve for x
    x = 44,706,613,370.28/201,337.30
  6. Step 6: Final answer
    x = 222,048.34

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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.