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Finding the Fourth Proportional to 157,072.44, 235,647.54 and 73,947

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Solution

The fourth proportional to 157,072.44, 235,647.54 and 73,947 is: 110,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,072.44 : 235,647.54 = 73,947 : x
  2. Step 2: Convert to fraction form
    157,072.44/235,647.54 = 73,947/x
  3. Step 3: Cross multiply
    157,072.44x = 235,647.54 × 73,947
  4. Step 4: Simplify right side
    157,072.44x = 17,425,428,640.38
  5. Step 5: Solve for x
    x = 17,425,428,640.38/157,072.44
  6. Step 6: Final answer
    x = 110,938.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.