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Finding the Fourth Proportional to 102,096.16, 140,905.36 and 57,384.16

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Solution

The fourth proportional to 102,096.16, 140,905.36 and 57,384.16 is: 79,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096.16 : 140,905.36 = 57,384.16 : x
  2. Step 2: Convert to fraction form
    102,096.16/140,905.36 = 57,384.16/x
  3. Step 3: Cross multiply
    102,096.16x = 140,905.36 × 57,384.16
  4. Step 4: Simplify right side
    102,096.16x = 8,085,735,723.10
  5. Step 5: Solve for x
    x = 8,085,735,723.10/102,096.16
  6. Step 6: Final answer
    x = 79,197.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.