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Finding the Fourth Proportional to 509,092.52, 763,648.50 and 154,105.16

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Solution

The fourth proportional to 509,092.52, 763,648.50 and 154,105.16 is: 231,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,092.52 : 763,648.50 = 154,105.16 : x
  2. Step 2: Convert to fraction form
    509,092.52/763,648.50 = 154,105.16/x
  3. Step 3: Cross multiply
    509,092.52x = 763,648.50 × 154,105.16
  4. Step 4: Simplify right side
    509,092.52x = 117,682,174,276.26
  5. Step 5: Solve for x
    x = 117,682,174,276.26/509,092.52
  6. Step 6: Final answer
    x = 231,160.68

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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.