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Finding the Fourth Proportional to 146,509.60, 219,721.20 and 57,733.60

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Solution

The fourth proportional to 146,509.60, 219,721.20 and 57,733.60 is: 86,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,509.60 : 219,721.20 = 57,733.60 : x
  2. Step 2: Convert to fraction form
    146,509.60/219,721.20 = 57,733.60/x
  3. Step 3: Cross multiply
    146,509.60x = 219,721.20 × 57,733.60
  4. Step 4: Simplify right side
    146,509.60x = 12,685,295,872.32
  5. Step 5: Solve for x
    x = 12,685,295,872.32/146,509.60
  6. Step 6: Final answer
    x = 86,583.38

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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.