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Finding the Fourth Proportional to 140,765.78, 211,148.67 and 35,584.75

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Solution

The fourth proportional to 140,765.78, 211,148.67 and 35,584.75 is: 53,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,765.78 : 211,148.67 = 35,584.75 : x
  2. Step 2: Convert to fraction form
    140,765.78/211,148.67 = 35,584.75/x
  3. Step 3: Cross multiply
    140,765.78x = 211,148.67 × 35,584.75
  4. Step 4: Simplify right side
    140,765.78x = 7,513,673,032.16
  5. Step 5: Solve for x
    x = 7,513,673,032.16/140,765.78
  6. Step 6: Final answer
    x = 53,377.13

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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.