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Finding the Fourth Proportional to 141,193, 211,744.59 and 46,401.31

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Solution

The fourth proportional to 141,193, 211,744.59 and 46,401.31 is: 69,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,193 : 211,744.59 = 46,401.31 : x
  2. Step 2: Convert to fraction form
    141,193/211,744.59 = 46,401.31/x
  3. Step 3: Cross multiply
    141,193x = 211,744.59 × 46,401.31
  4. Step 4: Simplify right side
    141,193x = 9,825,226,361.41
  5. Step 5: Solve for x
    x = 9,825,226,361.41/141,193
  6. Step 6: Final answer
    x = 69,587.21

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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.