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Finding the Fourth Proportional to 159,855.50, 239,830.24 and 47,536.58

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Solution

The fourth proportional to 159,855.50, 239,830.24 and 47,536.58 is: 71,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,855.50 : 239,830.24 = 47,536.58 : x
  2. Step 2: Convert to fraction form
    159,855.50/239,830.24 = 47,536.58/x
  3. Step 3: Cross multiply
    159,855.50x = 239,830.24 × 47,536.58
  4. Step 4: Simplify right side
    159,855.50x = 11,400,709,390.18
  5. Step 5: Solve for x
    x = 11,400,709,390.18/159,855.50
  6. Step 6: Final answer
    x = 71,318.84

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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.