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Finding the Fourth Proportional to 267,323.28, 401,004.60 and 89,829

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Solution

The fourth proportional to 267,323.28, 401,004.60 and 89,829 is: 134,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,323.28 : 401,004.60 = 89,829 : x
  2. Step 2: Convert to fraction form
    267,323.28/401,004.60 = 89,829/x
  3. Step 3: Cross multiply
    267,323.28x = 401,004.60 × 89,829
  4. Step 4: Simplify right side
    267,323.28x = 36,021,842,213.40
  5. Step 5: Solve for x
    x = 36,021,842,213.40/267,323.28
  6. Step 6: Final answer
    x = 134,750.11

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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.