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Finding the Fourth Proportional to 231,076.24, 346,543.80 and 97,954

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Solution

The fourth proportional to 231,076.24, 346,543.80 and 97,954 is: 146,901.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,076.24 : 346,543.80 = 97,954 : x
  2. Step 2: Convert to fraction form
    231,076.24/346,543.80 = 97,954/x
  3. Step 3: Cross multiply
    231,076.24x = 346,543.80 × 97,954
  4. Step 4: Simplify right side
    231,076.24x = 33,945,351,385.20
  5. Step 5: Solve for x
    x = 33,945,351,385.20/231,076.24
  6. Step 6: Final answer
    x = 146,901.09

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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.