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Finding the Fourth Proportional to 140,915.61, 211,380.84 and 35,735.49

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Solution

The fourth proportional to 140,915.61, 211,380.84 and 35,735.49 is: 53,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,915.61 : 211,380.84 = 35,735.49 : x
  2. Step 2: Convert to fraction form
    140,915.61/211,380.84 = 35,735.49/x
  3. Step 3: Cross multiply
    140,915.61x = 211,380.84 × 35,735.49
  4. Step 4: Simplify right side
    140,915.61x = 7,553,797,894.01
  5. Step 5: Solve for x
    x = 7,553,797,894.01/140,915.61
  6. Step 6: Final answer
    x = 53,605.12

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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.