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Finding the Fourth Proportional to 140,475.38, 210,734.06 and 51,722.06

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Solution

The fourth proportional to 140,475.38, 210,734.06 and 51,722.06 is: 77,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,475.38 : 210,734.06 = 51,722.06 : x
  2. Step 2: Convert to fraction form
    140,475.38/210,734.06 = 51,722.06/x
  3. Step 3: Cross multiply
    140,475.38x = 210,734.06 × 51,722.06
  4. Step 4: Simplify right side
    140,475.38x = 10,899,598,383.08
  5. Step 5: Solve for x
    x = 10,899,598,383.08/140,475.38
  6. Step 6: Final answer
    x = 77,590.81

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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.