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Finding the Fourth Proportional to 143,762.96, 215,657.40 and 55,012.88

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Solution

The fourth proportional to 143,762.96, 215,657.40 and 55,012.88 is: 82,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,762.96 : 215,657.40 = 55,012.88 : x
  2. Step 2: Convert to fraction form
    143,762.96/215,657.40 = 55,012.88/x
  3. Step 3: Cross multiply
    143,762.96x = 215,657.40 × 55,012.88
  4. Step 4: Simplify right side
    143,762.96x = 11,863,934,667.31
  5. Step 5: Solve for x
    x = 11,863,934,667.31/143,762.96
  6. Step 6: Final answer
    x = 82,524.28

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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.