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Finding the Fourth Proportional to 242,714.25, 364,071.06 and 65,221.26

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Solution

The fourth proportional to 242,714.25, 364,071.06 and 65,221.26 is: 97,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,714.25 : 364,071.06 = 65,221.26 : x
  2. Step 2: Convert to fraction form
    242,714.25/364,071.06 = 65,221.26/x
  3. Step 3: Cross multiply
    242,714.25x = 364,071.06 × 65,221.26
  4. Step 4: Simplify right side
    242,714.25x = 23,745,173,018.16
  5. Step 5: Solve for x
    x = 23,745,173,018.16/242,714.25
  6. Step 6: Final answer
    x = 97,831.81

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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.