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Finding the Fourth Proportional to 267,624, 401,591.52 and 119,880

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Solution

The fourth proportional to 267,624, 401,591.52 and 119,880 is: 179,889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,624 : 401,591.52 = 119,880 : x
  2. Step 2: Convert to fraction form
    267,624/401,591.52 = 119,880/x
  3. Step 3: Cross multiply
    267,624x = 401,591.52 × 119,880
  4. Step 4: Simplify right side
    267,624x = 48,142,791,417.60
  5. Step 5: Solve for x
    x = 48,142,791,417.60/267,624
  6. Step 6: Final answer
    x = 179,889.66

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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.