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Finding the Fourth Proportional to 102,391.09, 141,300.41 and 57,072

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Solution

The fourth proportional to 102,391.09, 141,300.41 and 57,072 is: 78,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,391.09 : 141,300.41 = 57,072 : x
  2. Step 2: Convert to fraction form
    102,391.09/141,300.41 = 57,072/x
  3. Step 3: Cross multiply
    102,391.09x = 141,300.41 × 57,072
  4. Step 4: Simplify right side
    102,391.09x = 8,064,296,999.52
  5. Step 5: Solve for x
    x = 8,064,296,999.52/102,391.09
  6. Step 6: Final answer
    x = 78,759.75

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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.