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Finding the Fourth Proportional to 267,839.70, 401,503.26 and 99,314.95

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Solution

The fourth proportional to 267,839.70, 401,503.26 and 99,314.95 is: 148,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,839.70 : 401,503.26 = 99,314.95 : x
  2. Step 2: Convert to fraction form
    267,839.70/401,503.26 = 99,314.95/x
  3. Step 3: Cross multiply
    267,839.70x = 401,503.26 × 99,314.95
  4. Step 4: Simplify right side
    267,839.70x = 39,875,276,191.74
  5. Step 5: Solve for x
    x = 39,875,276,191.74/267,839.70
  6. Step 6: Final answer
    x = 148,877.39

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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.