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Finding the Fourth Proportional to 140,759.80, 211,140.42 and 35,578.87

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Solution

The fourth proportional to 140,759.80, 211,140.42 and 35,578.87 is: 53,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,759.80 : 211,140.42 = 35,578.87 : x
  2. Step 2: Convert to fraction form
    140,759.80/211,140.42 = 35,578.87/x
  3. Step 3: Cross multiply
    140,759.80x = 211,140.42 × 35,578.87
  4. Step 4: Simplify right side
    140,759.80x = 7,512,137,554.93
  5. Step 5: Solve for x
    x = 7,512,137,554.93/140,759.80
  6. Step 6: Final answer
    x = 53,368.49

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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.