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Finding the Fourth Proportional to 143,123.53, 214,652.49 and 64,260.31

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Solution

The fourth proportional to 143,123.53, 214,652.49 and 64,260.31 is: 96,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,123.53 : 214,652.49 = 64,260.31 : x
  2. Step 2: Convert to fraction form
    143,123.53/214,652.49 = 64,260.31/x
  3. Step 3: Cross multiply
    143,123.53x = 214,652.49 × 64,260.31
  4. Step 4: Simplify right side
    143,123.53x = 13,793,635,549.67
  5. Step 5: Solve for x
    x = 13,793,635,549.67/143,123.53
  6. Step 6: Final answer
    x = 96,375.74

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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.