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Finding the Fourth Proportional to 267,821.16, 401,755.32 and 99,343.32

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Solution

The fourth proportional to 267,821.16, 401,755.32 and 99,343.32 is: 149,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,821.16 : 401,755.32 = 99,343.32 : x
  2. Step 2: Convert to fraction form
    267,821.16/401,755.32 = 99,343.32/x
  3. Step 3: Cross multiply
    267,821.16x = 401,755.32 × 99,343.32
  4. Step 4: Simplify right side
    267,821.16x = 39,911,707,316.46
  5. Step 5: Solve for x
    x = 39,911,707,316.46/267,821.16
  6. Step 6: Final answer
    x = 149,023.73

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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.