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Finding the Fourth Proportional to 140,213.80, 210,378.30 and 51,509.80

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Solution

The fourth proportional to 140,213.80, 210,378.30 and 51,509.80 is: 77,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,213.80 : 210,378.30 = 51,509.80 : x
  2. Step 2: Convert to fraction form
    140,213.80/210,378.30 = 51,509.80/x
  3. Step 3: Cross multiply
    140,213.80x = 210,378.30 × 51,509.80
  4. Step 4: Simplify right side
    140,213.80x = 10,836,544,157.34
  5. Step 5: Solve for x
    x = 10,836,544,157.34/140,213.80
  6. Step 6: Final answer
    x = 77,285.86

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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.