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Finding the Fourth Proportional to 201,648.60, 302,612.24 and 83,320.96

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Solution

The fourth proportional to 201,648.60, 302,612.24 and 83,320.96 is: 125,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,648.60 : 302,612.24 = 83,320.96 : x
  2. Step 2: Convert to fraction form
    201,648.60/302,612.24 = 83,320.96/x
  3. Step 3: Cross multiply
    201,648.60x = 302,612.24 × 83,320.96
  4. Step 4: Simplify right side
    201,648.60x = 25,213,942,344.55
  5. Step 5: Solve for x
    x = 25,213,942,344.55/201,648.60
  6. Step 6: Final answer
    x = 125,039.02

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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.