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Finding the Fourth Proportional to 146,259, 219,388.50 and 35,451

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Solution

The fourth proportional to 146,259, 219,388.50 and 35,451 is: 53,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,259 : 219,388.50 = 35,451 : x
  2. Step 2: Convert to fraction form
    146,259/219,388.50 = 35,451/x
  3. Step 3: Cross multiply
    146,259x = 219,388.50 × 35,451
  4. Step 4: Simplify right side
    146,259x = 7,777,541,713.50
  5. Step 5: Solve for x
    x = 7,777,541,713.50/146,259
  6. Step 6: Final answer
    x = 53,176.50

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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.