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Finding the Fourth Proportional to 143,135.70, 214,703.55 and 37,965.30

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Solution

The fourth proportional to 143,135.70, 214,703.55 and 37,965.30 is: 56,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,135.70 : 214,703.55 = 37,965.30 : x
  2. Step 2: Convert to fraction form
    143,135.70/214,703.55 = 37,965.30/x
  3. Step 3: Cross multiply
    143,135.70x = 214,703.55 × 37,965.30
  4. Step 4: Simplify right side
    143,135.70x = 8,151,284,686.82
  5. Step 5: Solve for x
    x = 8,151,284,686.82/143,135.70
  6. Step 6: Final answer
    x = 56,947.95

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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.