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Finding the Fourth Proportional to 279,746.49, 419,211.49 and 139,311.93

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Solution

The fourth proportional to 279,746.49, 419,211.49 and 139,311.93 is: 208,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,746.49 : 419,211.49 = 139,311.93 : x
  2. Step 2: Convert to fraction form
    279,746.49/419,211.49 = 139,311.93/x
  3. Step 3: Cross multiply
    279,746.49x = 419,211.49 × 139,311.93
  4. Step 4: Simplify right side
    279,746.49x = 58,401,161,750.08
  5. Step 5: Solve for x
    x = 58,401,161,750.08/279,746.49
  6. Step 6: Final answer
    x = 208,764.59

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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.