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Finding the Fourth Proportional to 146,252, 219,379.20 and 35,444

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Solution

The fourth proportional to 146,252, 219,379.20 and 35,444 is: 53,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,252 : 219,379.20 = 35,444 : x
  2. Step 2: Convert to fraction form
    146,252/219,379.20 = 35,444/x
  3. Step 3: Cross multiply
    146,252x = 219,379.20 × 35,444
  4. Step 4: Simplify right side
    146,252x = 7,775,676,364.80
  5. Step 5: Solve for x
    x = 7,775,676,364.80/146,252
  6. Step 6: Final answer
    x = 53,166.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.