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Finding the Fourth Proportional to 146,269, 219,403.50 and 35,461

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Solution

The fourth proportional to 146,269, 219,403.50 and 35,461 is: 53,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,269 : 219,403.50 = 35,461 : x
  2. Step 2: Convert to fraction form
    146,269/219,403.50 = 35,461/x
  3. Step 3: Cross multiply
    146,269x = 219,403.50 × 35,461
  4. Step 4: Simplify right side
    146,269x = 7,780,267,513.50
  5. Step 5: Solve for x
    x = 7,780,267,513.50/146,269
  6. Step 6: Final answer
    x = 53,191.50

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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.