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Finding the Fourth Proportional to 142,643.46, 213,965.19 and 37,462.26

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Solution

The fourth proportional to 142,643.46, 213,965.19 and 37,462.26 is: 56,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,643.46 : 213,965.19 = 37,462.26 : x
  2. Step 2: Convert to fraction form
    142,643.46/213,965.19 = 37,462.26/x
  3. Step 3: Cross multiply
    142,643.46x = 213,965.19 × 37,462.26
  4. Step 4: Simplify right side
    142,643.46x = 8,015,619,578.73
  5. Step 5: Solve for x
    x = 8,015,619,578.73/142,643.46
  6. Step 6: Final answer
    x = 56,193.39

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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.