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Finding the Fourth Proportional to 102,946.02, 140,768.28 and 102,946.02

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Solution

The fourth proportional to 102,946.02, 140,768.28 and 102,946.02 is: 140,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,946.02 : 140,768.28 = 102,946.02 : x
  2. Step 2: Convert to fraction form
    102,946.02/140,768.28 = 102,946.02/x
  3. Step 3: Cross multiply
    102,946.02x = 140,768.28 × 102,946.02
  4. Step 4: Simplify right side
    102,946.02x = 14,491,534,168.25
  5. Step 5: Solve for x
    x = 14,491,534,168.25/102,946.02
  6. Step 6: Final answer
    x = 140,768.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.