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Finding the Fourth Proportional to 159,064.97, 238,597.32 and 46,747.94

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Solution

The fourth proportional to 159,064.97, 238,597.32 and 46,747.94 is: 70,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,064.97 : 238,597.32 = 46,747.94 : x
  2. Step 2: Convert to fraction form
    159,064.97/238,597.32 = 46,747.94/x
  3. Step 3: Cross multiply
    159,064.97x = 238,597.32 × 46,747.94
  4. Step 4: Simplify right side
    159,064.97x = 11,153,933,199.52
  5. Step 5: Solve for x
    x = 11,153,933,199.52/159,064.97
  6. Step 6: Final answer
    x = 70,121.87

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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.