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Finding the Fourth Proportional to 201,734.40, 302,083.20 and 148,857.60

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Solution

The fourth proportional to 201,734.40, 302,083.20 and 148,857.60 is: 222,903.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,734.40 : 302,083.20 = 148,857.60 : x
  2. Step 2: Convert to fraction form
    201,734.40/302,083.20 = 148,857.60/x
  3. Step 3: Cross multiply
    201,734.40x = 302,083.20 × 148,857.60
  4. Step 4: Simplify right side
    201,734.40x = 44,967,380,152.32
  5. Step 5: Solve for x
    x = 44,967,380,152.32/201,734.40
  6. Step 6: Final answer
    x = 222,903.88

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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.