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Finding the Fourth Proportional to 201,750.40, 302,107.20 and 148,873.60

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Solution

The fourth proportional to 201,750.40, 302,107.20 and 148,873.60 is: 222,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,750.40 : 302,107.20 = 148,873.60 : x
  2. Step 2: Convert to fraction form
    201,750.40/302,107.20 = 148,873.60/x
  3. Step 3: Cross multiply
    201,750.40x = 302,107.20 × 148,873.60
  4. Step 4: Simplify right side
    201,750.40x = 44,975,786,449.92
  5. Step 5: Solve for x
    x = 44,975,786,449.92/201,750.40
  6. Step 6: Final answer
    x = 222,927.87

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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.