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Finding the Fourth Proportional to 143,122.53, 214,650.99 and 64,259.31

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Solution

The fourth proportional to 143,122.53, 214,650.99 and 64,259.31 is: 96,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,122.53 : 214,650.99 = 64,259.31 : x
  2. Step 2: Convert to fraction form
    143,122.53/214,650.99 = 64,259.31/x
  3. Step 3: Cross multiply
    143,122.53x = 214,650.99 × 64,259.31
  4. Step 4: Simplify right side
    143,122.53x = 13,793,324,508.22
  5. Step 5: Solve for x
    x = 13,793,324,508.22/143,122.53
  6. Step 6: Final answer
    x = 96,374.24

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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.