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Finding the Fourth Proportional to 140,546.32, 210,847.72 and 51,800.32

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Solution

The fourth proportional to 140,546.32, 210,847.72 and 51,800.32 is: 77,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,546.32 : 210,847.72 = 51,800.32 : x
  2. Step 2: Convert to fraction form
    140,546.32/210,847.72 = 51,800.32/x
  3. Step 3: Cross multiply
    140,546.32x = 210,847.72 × 51,800.32
  4. Step 4: Simplify right side
    140,546.32x = 10,921,979,367.27
  5. Step 5: Solve for x
    x = 10,921,979,367.27/140,546.32
  6. Step 6: Final answer
    x = 77,710.89

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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.