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Finding the Fourth Proportional to 354,142.86, 531,317.92 and 114,252.14

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Solution

The fourth proportional to 354,142.86, 531,317.92 and 114,252.14 is: 171,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,142.86 : 531,317.92 = 114,252.14 : x
  2. Step 2: Convert to fraction form
    354,142.86/531,317.92 = 114,252.14/x
  3. Step 3: Cross multiply
    354,142.86x = 531,317.92 × 114,252.14
  4. Step 4: Simplify right side
    354,142.86x = 60,704,206,438.13
  5. Step 5: Solve for x
    x = 60,704,206,438.13/354,142.86
  6. Step 6: Final answer
    x = 171,411.63

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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.