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Finding the Fourth Proportional to 262,126.16, 361,723.38 and 147,401.54

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Solution

The fourth proportional to 262,126.16, 361,723.38 and 147,401.54 is: 203,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,126.16 : 361,723.38 = 147,401.54 : x
  2. Step 2: Convert to fraction form
    262,126.16/361,723.38 = 147,401.54/x
  3. Step 3: Cross multiply
    262,126.16x = 361,723.38 × 147,401.54
  4. Step 4: Simplify right side
    262,126.16x = 53,318,583,266.01
  5. Step 5: Solve for x
    x = 53,318,583,266.01/262,126.16
  6. Step 6: Final answer
    x = 203,408.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.