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Finding the Fourth Proportional to 206,768.70, 310,335.30 and 122,423.40

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Solution

The fourth proportional to 206,768.70, 310,335.30 and 122,423.40 is: 183,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,768.70 : 310,335.30 = 122,423.40 : x
  2. Step 2: Convert to fraction form
    206,768.70/310,335.30 = 122,423.40/x
  3. Step 3: Cross multiply
    206,768.70x = 310,335.30 × 122,423.40
  4. Step 4: Simplify right side
    206,768.70x = 37,992,302,566.02
  5. Step 5: Solve for x
    x = 37,992,302,566.02/206,768.70
  6. Step 6: Final answer
    x = 183,743.01

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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.