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Finding the Fourth Proportional to 140,971.88, 211,496.87 and 65,093.61

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Solution

The fourth proportional to 140,971.88, 211,496.87 and 65,093.61 is: 97,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,971.88 : 211,496.87 = 65,093.61 : x
  2. Step 2: Convert to fraction form
    140,971.88/211,496.87 = 65,093.61/x
  3. Step 3: Cross multiply
    140,971.88x = 211,496.87 × 65,093.61
  4. Step 4: Simplify right side
    140,971.88x = 13,767,095,727.85
  5. Step 5: Solve for x
    x = 13,767,095,727.85/140,971.88
  6. Step 6: Final answer
    x = 97,658.45

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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.