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Finding the Fourth Proportional to 140,783.87, 211,174.04 and 34,168.71

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Solution

The fourth proportional to 140,783.87, 211,174.04 and 34,168.71 is: 51,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,783.87 : 211,174.04 = 34,168.71 : x
  2. Step 2: Convert to fraction form
    140,783.87/211,174.04 = 34,168.71/x
  3. Step 3: Cross multiply
    140,783.87x = 211,174.04 × 34,168.71
  4. Step 4: Simplify right side
    140,783.87x = 7,215,544,623.49
  5. Step 5: Solve for x
    x = 7,215,544,623.49/140,783.87
  6. Step 6: Final answer
    x = 51,252.64

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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.