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Finding the Fourth Proportional to 76,339.26, 114,197.85 and 63,897.66

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Solution

The fourth proportional to 76,339.26, 114,197.85 and 63,897.66 is: 95,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,339.26 : 114,197.85 = 63,897.66 : x
  2. Step 2: Convert to fraction form
    76,339.26/114,197.85 = 63,897.66/x
  3. Step 3: Cross multiply
    76,339.26x = 114,197.85 × 63,897.66
  4. Step 4: Simplify right side
    76,339.26x = 7,296,975,392.03
  5. Step 5: Solve for x
    x = 7,296,975,392.03/76,339.26
  6. Step 6: Final answer
    x = 95,586.14

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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.