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Finding the Fourth Proportional to 140,893.03, 211,351.85 and 35,712

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Solution

The fourth proportional to 140,893.03, 211,351.85 and 35,712 is: 53,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,893.03 : 211,351.85 = 35,712 : x
  2. Step 2: Convert to fraction form
    140,893.03/211,351.85 = 35,712/x
  3. Step 3: Cross multiply
    140,893.03x = 211,351.85 × 35,712
  4. Step 4: Simplify right side
    140,893.03x = 7,547,797,222.56
  5. Step 5: Solve for x
    x = 7,547,797,222.56/140,893.03
  6. Step 6: Final answer
    x = 53,571.12

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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.