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Finding the Fourth Proportional to 102,100.50, 140,898.69 and 57,388.50

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Solution

The fourth proportional to 102,100.50, 140,898.69 and 57,388.50 is: 79,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,100.50 : 140,898.69 = 57,388.50 : x
  2. Step 2: Convert to fraction form
    102,100.50/140,898.69 = 57,388.50/x
  3. Step 3: Cross multiply
    102,100.50x = 140,898.69 × 57,388.50
  4. Step 4: Simplify right side
    102,100.50x = 8,085,964,471.07
  5. Step 5: Solve for x
    x = 8,085,964,471.07/102,100.50
  6. Step 6: Final answer
    x = 79,196.13

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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.