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Finding the Fourth Proportional to 269,054.34, 403,441.32 and 100,435.98

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Solution

The fourth proportional to 269,054.34, 403,441.32 and 100,435.98 is: 150,601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,054.34 : 403,441.32 = 100,435.98 : x
  2. Step 2: Convert to fraction form
    269,054.34/403,441.32 = 100,435.98/x
  3. Step 3: Cross multiply
    269,054.34x = 403,441.32 × 100,435.98
  4. Step 4: Simplify right side
    269,054.34x = 40,520,024,346.69
  5. Step 5: Solve for x
    x = 40,520,024,346.69/269,054.34
  6. Step 6: Final answer
    x = 150,601.64

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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.