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Finding the Fourth Proportional to 146,019.64, 219,029.64 and 35,211.64

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Solution

The fourth proportional to 146,019.64, 219,029.64 and 35,211.64 is: 52,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,019.64 : 219,029.64 = 35,211.64 : x
  2. Step 2: Convert to fraction form
    146,019.64/219,029.64 = 35,211.64/x
  3. Step 3: Cross multiply
    146,019.64x = 219,029.64 × 35,211.64
  4. Step 4: Simplify right side
    146,019.64x = 7,712,392,833.01
  5. Step 5: Solve for x
    x = 7,712,392,833.01/146,019.64
  6. Step 6: Final answer
    x = 52,817.50

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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.