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Finding the Fourth Proportional to 140,251.86, 210,379.65 and 46,757.64

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Solution

The fourth proportional to 140,251.86, 210,379.65 and 46,757.64 is: 70,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,251.86 : 210,379.65 = 46,757.64 : x
  2. Step 2: Convert to fraction form
    140,251.86/210,379.65 = 46,757.64/x
  3. Step 3: Cross multiply
    140,251.86x = 210,379.65 × 46,757.64
  4. Step 4: Simplify right side
    140,251.86x = 9,836,855,938.03
  5. Step 5: Solve for x
    x = 9,836,855,938.03/140,251.86
  6. Step 6: Final answer
    x = 70,137.08

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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.