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Finding the Fourth Proportional to 251,372.44, 346,896.32 and 138,196

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Solution

The fourth proportional to 251,372.44, 346,896.32 and 138,196 is: 190,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,372.44 : 346,896.32 = 138,196 : x
  2. Step 2: Convert to fraction form
    251,372.44/346,896.32 = 138,196/x
  3. Step 3: Cross multiply
    251,372.44x = 346,896.32 × 138,196
  4. Step 4: Simplify right side
    251,372.44x = 47,939,683,838.72
  5. Step 5: Solve for x
    x = 47,939,683,838.72/251,372.44
  6. Step 6: Final answer
    x = 190,711.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.