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Finding the Fourth Proportional to 159,813.60, 239,551.10 and 69,777.24

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Solution

The fourth proportional to 159,813.60, 239,551.10 and 69,777.24 is: 104,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,813.60 : 239,551.10 = 69,777.24 : x
  2. Step 2: Convert to fraction form
    159,813.60/239,551.10 = 69,777.24/x
  3. Step 3: Cross multiply
    159,813.60x = 239,551.10 × 69,777.24
  4. Step 4: Simplify right side
    159,813.60x = 16,715,214,596.96
  5. Step 5: Solve for x
    x = 16,715,214,596.96/159,813.60
  6. Step 6: Final answer
    x = 104,591.94

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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.