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Finding the Fourth Proportional to 146,273.50, 219,410.28 and 35,465.50

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Solution

The fourth proportional to 146,273.50, 219,410.28 and 35,465.50 is: 53,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,273.50 : 219,410.28 = 35,465.50 : x
  2. Step 2: Convert to fraction form
    146,273.50/219,410.28 = 35,465.50/x
  3. Step 3: Cross multiply
    146,273.50x = 219,410.28 × 35,465.50
  4. Step 4: Simplify right side
    146,273.50x = 7,781,495,285.34
  5. Step 5: Solve for x
    x = 7,781,495,285.34/146,273.50
  6. Step 6: Final answer
    x = 53,198.26

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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.