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Finding the Fourth Proportional to 115,226, 159,011.90 and 62,234

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Solution

The fourth proportional to 115,226, 159,011.90 and 62,234 is: 85,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,226 : 159,011.90 = 62,234 : x
  2. Step 2: Convert to fraction form
    115,226/159,011.90 = 62,234/x
  3. Step 3: Cross multiply
    115,226x = 159,011.90 × 62,234
  4. Step 4: Simplify right side
    115,226x = 9,895,946,584.60
  5. Step 5: Solve for x
    x = 9,895,946,584.60/115,226
  6. Step 6: Final answer
    x = 85,882.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.