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Finding the Fourth Proportional to 215,834.40, 323,751.60 and 202,701.60

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Solution

The fourth proportional to 215,834.40, 323,751.60 and 202,701.60 is: 304,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,834.40 : 323,751.60 = 202,701.60 : x
  2. Step 2: Convert to fraction form
    215,834.40/323,751.60 = 202,701.60/x
  3. Step 3: Cross multiply
    215,834.40x = 323,751.60 × 202,701.60
  4. Step 4: Simplify right side
    215,834.40x = 65,624,967,322.56
  5. Step 5: Solve for x
    x = 65,624,967,322.56/215,834.40
  6. Step 6: Final answer
    x = 304,052.40

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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.