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Finding the Fourth Proportional to 103,222, 154,859 and 29,350

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Solution

The fourth proportional to 103,222, 154,859 and 29,350 is: 44,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,222 : 154,859 = 29,350 : x
  2. Step 2: Convert to fraction form
    103,222/154,859 = 29,350/x
  3. Step 3: Cross multiply
    103,222x = 154,859 × 29,350
  4. Step 4: Simplify right side
    103,222x = 4,545,111,650
  5. Step 5: Solve for x
    x = 4,545,111,650/103,222
  6. Step 6: Final answer
    x = 44,032.39

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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.