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Finding the Fourth Proportional to 231,004, 346,644.24 and 99,676

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Solution

The fourth proportional to 231,004, 346,644.24 and 99,676 is: 149,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,004 : 346,644.24 = 99,676 : x
  2. Step 2: Convert to fraction form
    231,004/346,644.24 = 99,676/x
  3. Step 3: Cross multiply
    231,004x = 346,644.24 × 99,676
  4. Step 4: Simplify right side
    231,004x = 34,552,111,266.24
  5. Step 5: Solve for x
    x = 34,552,111,266.24/231,004
  6. Step 6: Final answer
    x = 149,573.65

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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.