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Finding the Fourth Proportional to 146,509.64, 219,764.44 and 52,993.52

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Solution

The fourth proportional to 146,509.64, 219,764.44 and 52,993.52 is: 79,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,509.64 : 219,764.44 = 52,993.52 : x
  2. Step 2: Convert to fraction form
    146,509.64/219,764.44 = 52,993.52/x
  3. Step 3: Cross multiply
    146,509.64x = 219,764.44 × 52,993.52
  4. Step 4: Simplify right side
    146,509.64x = 11,646,091,246.43
  5. Step 5: Solve for x
    x = 11,646,091,246.43/146,509.64
  6. Step 6: Final answer
    x = 79,490.27

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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.