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Finding the Fourth Proportional to 102,219.36, 141,063.12 and 57,504.48

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Solution

The fourth proportional to 102,219.36, 141,063.12 and 57,504.48 is: 79,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,219.36 : 141,063.12 = 57,504.48 : x
  2. Step 2: Convert to fraction form
    102,219.36/141,063.12 = 57,504.48/x
  3. Step 3: Cross multiply
    102,219.36x = 141,063.12 × 57,504.48
  4. Step 4: Simplify right side
    102,219.36x = 8,111,761,362.78
  5. Step 5: Solve for x
    x = 8,111,761,362.78/102,219.36
  6. Step 6: Final answer
    x = 79,356.41

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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.