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Finding the Fourth Proportional to 247,862.81, 342,022.91 and 140,409.83

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Solution

The fourth proportional to 247,862.81, 342,022.91 and 140,409.83 is: 193,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,862.81 : 342,022.91 = 140,409.83 : x
  2. Step 2: Convert to fraction form
    247,862.81/342,022.91 = 140,409.83/x
  3. Step 3: Cross multiply
    247,862.81x = 342,022.91 × 140,409.83
  4. Step 4: Simplify right side
    247,862.81x = 48,023,378,649.21
  5. Step 5: Solve for x
    x = 48,023,378,649.21/247,862.81
  6. Step 6: Final answer
    x = 193,749.84

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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.