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Finding the Fourth Proportional to 348,092.34, 522,174.96 and 148,433.82

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Solution

The fourth proportional to 348,092.34, 522,174.96 and 148,433.82 is: 222,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,092.34 : 522,174.96 = 148,433.82 : x
  2. Step 2: Convert to fraction form
    348,092.34/522,174.96 = 148,433.82/x
  3. Step 3: Cross multiply
    348,092.34x = 522,174.96 × 148,433.82
  4. Step 4: Simplify right side
    348,092.34x = 77,508,424,021.15
  5. Step 5: Solve for x
    x = 77,508,424,021.15/348,092.34
  6. Step 6: Final answer
    x = 222,666.27

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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.