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Finding the Fourth Proportional to 146,102.64, 219,154.24 and 35,294.64

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Solution

The fourth proportional to 146,102.64, 219,154.24 and 35,294.64 is: 52,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,102.64 : 219,154.24 = 35,294.64 : x
  2. Step 2: Convert to fraction form
    146,102.64/219,154.24 = 35,294.64/x
  3. Step 3: Cross multiply
    146,102.64x = 219,154.24 × 35,294.64
  4. Step 4: Simplify right side
    146,102.64x = 7,734,970,005.27
  5. Step 5: Solve for x
    x = 7,734,970,005.27/146,102.64
  6. Step 6: Final answer
    x = 52,942.03

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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.