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Finding the Fourth Proportional to 157,653.36, 217,453.32 and 93,942

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Solution

The fourth proportional to 157,653.36, 217,453.32 and 93,942 is: 129,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,653.36 : 217,453.32 = 93,942 : x
  2. Step 2: Convert to fraction form
    157,653.36/217,453.32 = 93,942/x
  3. Step 3: Cross multiply
    157,653.36x = 217,453.32 × 93,942
  4. Step 4: Simplify right side
    157,653.36x = 20,427,999,787.44
  5. Step 5: Solve for x
    x = 20,427,999,787.44/157,653.36
  6. Step 6: Final answer
    x = 129,575.42

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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.