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Finding the Fourth Proportional to 269,197.20, 403,795.80 and 185,216.40

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Solution

The fourth proportional to 269,197.20, 403,795.80 and 185,216.40 is: 277,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,197.20 : 403,795.80 = 185,216.40 : x
  2. Step 2: Convert to fraction form
    269,197.20/403,795.80 = 185,216.40/x
  3. Step 3: Cross multiply
    269,197.20x = 403,795.80 × 185,216.40
  4. Step 4: Simplify right side
    269,197.20x = 74,789,604,411.12
  5. Step 5: Solve for x
    x = 74,789,604,411.12/269,197.20
  6. Step 6: Final answer
    x = 277,824.60

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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.