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Finding the Fourth Proportional to 269,177.32, 403,642.94 and 100,573.98

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Solution

The fourth proportional to 269,177.32, 403,642.94 and 100,573.98 is: 150,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,177.32 : 403,642.94 = 100,573.98 : x
  2. Step 2: Convert to fraction form
    269,177.32/403,642.94 = 100,573.98/x
  3. Step 3: Cross multiply
    269,177.32x = 403,642.94 × 100,573.98
  4. Step 4: Simplify right side
    269,177.32x = 40,595,976,974.70
  5. Step 5: Solve for x
    x = 40,595,976,974.70/269,177.32
  6. Step 6: Final answer
    x = 150,815.00

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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.