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Finding the Fourth Proportional to 201,710.40, 302,047.20 and 148,833.60

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Solution

The fourth proportional to 201,710.40, 302,047.20 and 148,833.60 is: 222,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710.40 : 302,047.20 = 148,833.60 : x
  2. Step 2: Convert to fraction form
    201,710.40/302,047.20 = 148,833.60/x
  3. Step 3: Cross multiply
    201,710.40x = 302,047.20 × 148,833.60
  4. Step 4: Simplify right side
    201,710.40x = 44,954,772,145.92
  5. Step 5: Solve for x
    x = 44,954,772,145.92/201,710.40
  6. Step 6: Final answer
    x = 222,867.89

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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.