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Finding the Fourth Proportional to 146,353.50, 219,530.43 and 41,172.57

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Solution

The fourth proportional to 146,353.50, 219,530.43 and 41,172.57 is: 61,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,353.50 : 219,530.43 = 41,172.57 : x
  2. Step 2: Convert to fraction form
    146,353.50/219,530.43 = 41,172.57/x
  3. Step 3: Cross multiply
    146,353.50x = 219,530.43 × 41,172.57
  4. Step 4: Simplify right side
    146,353.50x = 9,038,631,996.31
  5. Step 5: Solve for x
    x = 9,038,631,996.31/146,353.50
  6. Step 6: Final answer
    x = 61,758.91

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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.