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Finding the Fourth Proportional to 229,853.20, 344,002.20 and 201,859.60

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Solution

The fourth proportional to 229,853.20, 344,002.20 and 201,859.60 is: 302,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,853.20 : 344,002.20 = 201,859.60 : x
  2. Step 2: Convert to fraction form
    229,853.20/344,002.20 = 201,859.60/x
  3. Step 3: Cross multiply
    229,853.20x = 344,002.20 × 201,859.60
  4. Step 4: Simplify right side
    229,853.20x = 69,440,146,491.12
  5. Step 5: Solve for x
    x = 69,440,146,491.12/229,853.20
  6. Step 6: Final answer
    x = 302,106.50

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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.