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Finding the Fourth Proportional to 146,295.50, 219,443.34 and 35,487.50

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Solution

The fourth proportional to 146,295.50, 219,443.34 and 35,487.50 is: 53,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,295.50 : 219,443.34 = 35,487.50 : x
  2. Step 2: Convert to fraction form
    146,295.50/219,443.34 = 35,487.50/x
  3. Step 3: Cross multiply
    146,295.50x = 219,443.34 × 35,487.50
  4. Step 4: Simplify right side
    146,295.50x = 7,787,495,528.25
  5. Step 5: Solve for x
    x = 7,787,495,528.25/146,295.50
  6. Step 6: Final answer
    x = 53,231.27

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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.