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Finding the Fourth Proportional to 231,188, 346,782 and 64,976

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Solution

The fourth proportional to 231,188, 346,782 and 64,976 is: 97,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,188 : 346,782 = 64,976 : x
  2. Step 2: Convert to fraction form
    231,188/346,782 = 64,976/x
  3. Step 3: Cross multiply
    231,188x = 346,782 × 64,976
  4. Step 4: Simplify right side
    231,188x = 22,532,507,232
  5. Step 5: Solve for x
    x = 22,532,507,232/231,188
  6. Step 6: Final answer
    x = 97,464

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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.