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Finding the Fourth Proportional to 140,524, 210,770.47 and 35,343.01

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Solution

The fourth proportional to 140,524, 210,770.47 and 35,343.01 is: 53,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,524 : 210,770.47 = 35,343.01 : x
  2. Step 2: Convert to fraction form
    140,524/210,770.47 = 35,343.01/x
  3. Step 3: Cross multiply
    140,524x = 210,770.47 × 35,343.01
  4. Step 4: Simplify right side
    140,524x = 7,449,262,828.91
  5. Step 5: Solve for x
    x = 7,449,262,828.91/140,524
  6. Step 6: Final answer
    x = 53,010.61

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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.