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Finding the Fourth Proportional to 267,694.40, 401,541.60 and 109,841.60

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Solution

The fourth proportional to 267,694.40, 401,541.60 and 109,841.60 is: 164,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,694.40 : 401,541.60 = 109,841.60 : x
  2. Step 2: Convert to fraction form
    267,694.40/401,541.60 = 109,841.60/x
  3. Step 3: Cross multiply
    267,694.40x = 401,541.60 × 109,841.60
  4. Step 4: Simplify right side
    267,694.40x = 44,105,971,810.56
  5. Step 5: Solve for x
    x = 44,105,971,810.56/267,694.40
  6. Step 6: Final answer
    x = 164,762.40

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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.