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Finding the Fourth Proportional to 146,271, 219,406.50 and 35,463

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Solution

The fourth proportional to 146,271, 219,406.50 and 35,463 is: 53,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,271 : 219,406.50 = 35,463 : x
  2. Step 2: Convert to fraction form
    146,271/219,406.50 = 35,463/x
  3. Step 3: Cross multiply
    146,271x = 219,406.50 × 35,463
  4. Step 4: Simplify right side
    146,271x = 7,780,812,709.50
  5. Step 5: Solve for x
    x = 7,780,812,709.50/146,271
  6. Step 6: Final answer
    x = 53,194.50

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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.