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Finding the Fourth Proportional to 146,018.52, 219,051.44 and 57,223.88

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Solution

The fourth proportional to 146,018.52, 219,051.44 and 57,223.88 is: 85,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,018.52 : 219,051.44 = 57,223.88 : x
  2. Step 2: Convert to fraction form
    146,018.52/219,051.44 = 57,223.88/x
  3. Step 3: Cross multiply
    146,018.52x = 219,051.44 × 57,223.88
  4. Step 4: Simplify right side
    146,018.52x = 12,534,973,316.39
  5. Step 5: Solve for x
    x = 12,534,973,316.39/146,018.52
  6. Step 6: Final answer
    x = 85,845.09

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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.