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Finding the Fourth Proportional to 201,684.78, 302,629.23 and 83,440.98

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Solution

The fourth proportional to 201,684.78, 302,629.23 and 83,440.98 is: 125,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,684.78 : 302,629.23 = 83,440.98 : x
  2. Step 2: Convert to fraction form
    201,684.78/302,629.23 = 83,440.98/x
  3. Step 3: Cross multiply
    201,684.78x = 302,629.23 × 83,440.98
  4. Step 4: Simplify right side
    201,684.78x = 25,251,679,527.85
  5. Step 5: Solve for x
    x = 25,251,679,527.85/201,684.78
  6. Step 6: Final answer
    x = 125,203.69

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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.