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Finding the Fourth Proportional to 141,193.50, 211,745.34 and 46,401.81

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Solution

The fourth proportional to 141,193.50, 211,745.34 and 46,401.81 is: 69,587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,193.50 : 211,745.34 = 46,401.81 : x
  2. Step 2: Convert to fraction form
    141,193.50/211,745.34 = 46,401.81/x
  3. Step 3: Cross multiply
    141,193.50x = 211,745.34 × 46,401.81
  4. Step 4: Simplify right side
    141,193.50x = 9,825,367,035.07
  5. Step 5: Solve for x
    x = 9,825,367,035.07/141,193.50
  6. Step 6: Final answer
    x = 69,587.96

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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.