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Finding the Fourth Proportional to 102,211.20, 141,048 and 57,490.56

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Solution

The fourth proportional to 102,211.20, 141,048 and 57,490.56 is: 79,335.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,211.20 : 141,048 = 57,490.56 : x
  2. Step 2: Convert to fraction form
    102,211.20/141,048 = 57,490.56/x
  3. Step 3: Cross multiply
    102,211.20x = 141,048 × 57,490.56
  4. Step 4: Simplify right side
    102,211.20x = 8,108,928,506.88
  5. Step 5: Solve for x
    x = 8,108,928,506.88/102,211.20
  6. Step 6: Final answer
    x = 79,335.03

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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.