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Finding the Fourth Proportional to 201,215.80, 301,823.70 and 148,071.70

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Solution

The fourth proportional to 201,215.80, 301,823.70 and 148,071.70 is: 222,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,215.80 : 301,823.70 = 148,071.70 : x
  2. Step 2: Convert to fraction form
    201,215.80/301,823.70 = 148,071.70/x
  3. Step 3: Cross multiply
    201,215.80x = 301,823.70 × 148,071.70
  4. Step 4: Simplify right side
    201,215.80x = 44,691,548,359.29
  5. Step 5: Solve for x
    x = 44,691,548,359.29/201,215.80
  6. Step 6: Final answer
    x = 222,107.55

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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.