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Finding the Fourth Proportional to 242,714.26, 364,071.07 and 65,221.27

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Solution

The fourth proportional to 242,714.26, 364,071.07 and 65,221.27 is: 97,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,714.26 : 364,071.07 = 65,221.27 : x
  2. Step 2: Convert to fraction form
    242,714.26/364,071.07 = 65,221.27/x
  3. Step 3: Cross multiply
    242,714.26x = 364,071.07 × 65,221.27
  4. Step 4: Simplify right side
    242,714.26x = 23,745,177,229.55
  5. Step 5: Solve for x
    x = 23,745,177,229.55/242,714.26
  6. Step 6: Final answer
    x = 97,831.82

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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.