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Finding the Fourth Proportional to 147,178.02, 203,100.03 and 83,512.02

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Solution

The fourth proportional to 147,178.02, 203,100.03 and 83,512.02 is: 115,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,178.02 : 203,100.03 = 83,512.02 : x
  2. Step 2: Convert to fraction form
    147,178.02/203,100.03 = 83,512.02/x
  3. Step 3: Cross multiply
    147,178.02x = 203,100.03 × 83,512.02
  4. Step 4: Simplify right side
    147,178.02x = 16,961,293,767.36
  5. Step 5: Solve for x
    x = 16,961,293,767.36/147,178.02
  6. Step 6: Final answer
    x = 115,243.39

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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.