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Finding the Fourth Proportional to 185,209.80, 277,814.70 and 165,964.20

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Solution

The fourth proportional to 185,209.80, 277,814.70 and 165,964.20 is: 248,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,209.80 : 277,814.70 = 165,964.20 : x
  2. Step 2: Convert to fraction form
    185,209.80/277,814.70 = 165,964.20/x
  3. Step 3: Cross multiply
    185,209.80x = 277,814.70 × 165,964.20
  4. Step 4: Simplify right side
    185,209.80x = 46,107,294,433.74
  5. Step 5: Solve for x
    x = 46,107,294,433.74/185,209.80
  6. Step 6: Final answer
    x = 248,946.30

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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.