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Finding the Fourth Proportional to 201,729.60, 302,680.80 and 103,233.60

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Solution

The fourth proportional to 201,729.60, 302,680.80 and 103,233.60 is: 154,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,729.60 : 302,680.80 = 103,233.60 : x
  2. Step 2: Convert to fraction form
    201,729.60/302,680.80 = 103,233.60/x
  3. Step 3: Cross multiply
    201,729.60x = 302,680.80 × 103,233.60
  4. Step 4: Simplify right side
    201,729.60x = 31,246,828,634.88
  5. Step 5: Solve for x
    x = 31,246,828,634.88/201,729.60
  6. Step 6: Final answer
    x = 154,894.61

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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.