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Finding the Fourth Proportional to 267,402.50, 401,095.51 and 109,512.03

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Solution

The fourth proportional to 267,402.50, 401,095.51 and 109,512.03 is: 164,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,402.50 : 401,095.51 = 109,512.03 : x
  2. Step 2: Convert to fraction form
    267,402.50/401,095.51 = 109,512.03/x
  3. Step 3: Cross multiply
    267,402.50x = 401,095.51 × 109,512.03
  4. Step 4: Simplify right side
    267,402.50x = 43,924,785,370.32
  5. Step 5: Solve for x
    x = 43,924,785,370.32/267,402.50
  6. Step 6: Final answer
    x = 164,264.68

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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.