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Finding the Fourth Proportional to 267,160.68, 400,741.02 and 119,313

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Solution

The fourth proportional to 267,160.68, 400,741.02 and 119,313 is: 178,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,160.68 : 400,741.02 = 119,313 : x
  2. Step 2: Convert to fraction form
    267,160.68/400,741.02 = 119,313/x
  3. Step 3: Cross multiply
    267,160.68x = 400,741.02 × 119,313
  4. Step 4: Simplify right side
    267,160.68x = 47,813,613,319.26
  5. Step 5: Solve for x
    x = 47,813,613,319.26/267,160.68
  6. Step 6: Final answer
    x = 178,969.50

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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.