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Finding the Fourth Proportional to 269,206.95, 403,810.43 and 185,226.15

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Solution

The fourth proportional to 269,206.95, 403,810.43 and 185,226.15 is: 277,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,206.95 : 403,810.43 = 185,226.15 : x
  2. Step 2: Convert to fraction form
    269,206.95/403,810.43 = 185,226.15/x
  3. Step 3: Cross multiply
    269,206.95x = 403,810.43 × 185,226.15
  4. Step 4: Simplify right side
    269,206.95x = 74,796,250,352.61
  5. Step 5: Solve for x
    x = 74,796,250,352.61/269,206.95
  6. Step 6: Final answer
    x = 277,839.23

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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.