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Finding the Fourth Proportional to 267,853.19, 401,766.76 and 99,406.32

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Solution

The fourth proportional to 267,853.19, 401,766.76 and 99,406.32 is: 149,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,853.19 : 401,766.76 = 99,406.32 : x
  2. Step 2: Convert to fraction form
    267,853.19/401,766.76 = 99,406.32/x
  3. Step 3: Cross multiply
    267,853.19x = 401,766.76 × 99,406.32
  4. Step 4: Simplify right side
    267,853.19x = 39,938,154,861.41
  5. Step 5: Solve for x
    x = 39,938,154,861.41/267,853.19
  6. Step 6: Final answer
    x = 149,104.65

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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.