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Finding the Fourth Proportional to 146,250.56, 219,348.09 and 71,295.32

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Solution

The fourth proportional to 146,250.56, 219,348.09 and 71,295.32 is: 106,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,250.56 : 219,348.09 = 71,295.32 : x
  2. Step 2: Convert to fraction form
    146,250.56/219,348.09 = 71,295.32/x
  3. Step 3: Cross multiply
    146,250.56x = 219,348.09 × 71,295.32
  4. Step 4: Simplify right side
    146,250.56x = 15,638,492,816.31
  5. Step 5: Solve for x
    x = 15,638,492,816.31/146,250.56
  6. Step 6: Final answer
    x = 106,929.45

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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.