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Finding the Fourth Proportional to 140,523.50, 210,769.73 and 35,342.51

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Solution

The fourth proportional to 140,523.50, 210,769.73 and 35,342.51 is: 53,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,523.50 : 210,769.73 = 35,342.51 : x
  2. Step 2: Convert to fraction form
    140,523.50/210,769.73 = 35,342.51/x
  3. Step 3: Cross multiply
    140,523.50x = 210,769.73 × 35,342.51
  4. Step 4: Simplify right side
    140,523.50x = 7,449,131,113.51
  5. Step 5: Solve for x
    x = 7,449,131,113.51/140,523.50
  6. Step 6: Final answer
    x = 53,009.86

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1.5x scale

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.