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Finding the Fourth Proportional to 102,188.80, 141,033.60 and 57,476.48

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Solution

The fourth proportional to 102,188.80, 141,033.60 and 57,476.48 is: 79,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,188.80 : 141,033.60 = 57,476.48 : x
  2. Step 2: Convert to fraction form
    102,188.80/141,033.60 = 57,476.48/x
  3. Step 3: Cross multiply
    102,188.80x = 141,033.60 × 57,476.48
  4. Step 4: Simplify right side
    102,188.80x = 8,106,114,889.73
  5. Step 5: Solve for x
    x = 8,106,114,889.73/102,188.80
  6. Step 6: Final answer
    x = 79,324.89

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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.