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Finding the Fourth Proportional to 273,401.10, 410,101.65 and 147,429.90

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Solution

The fourth proportional to 273,401.10, 410,101.65 and 147,429.90 is: 221,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,401.10 : 410,101.65 = 147,429.90 : x
  2. Step 2: Convert to fraction form
    273,401.10/410,101.65 = 147,429.90/x
  3. Step 3: Cross multiply
    273,401.10x = 410,101.65 × 147,429.90
  4. Step 4: Simplify right side
    273,401.10x = 60,461,245,249.34
  5. Step 5: Solve for x
    x = 60,461,245,249.34/273,401.10
  6. Step 6: Final answer
    x = 221,144.85

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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.