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Finding the Fourth Proportional to 231,077.24, 346,545.30 and 97,955

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Solution

The fourth proportional to 231,077.24, 346,545.30 and 97,955 is: 146,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,077.24 : 346,545.30 = 97,955 : x
  2. Step 2: Convert to fraction form
    231,077.24/346,545.30 = 97,955/x
  3. Step 3: Cross multiply
    231,077.24x = 346,545.30 × 97,955
  4. Step 4: Simplify right side
    231,077.24x = 33,945,844,861.50
  5. Step 5: Solve for x
    x = 33,945,844,861.50/231,077.24
  6. Step 6: Final answer
    x = 146,902.59

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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.