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Finding the Fourth Proportional to 138,696.30, 194,699.70 and 138,696.30

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Solution

The fourth proportional to 138,696.30, 194,699.70 and 138,696.30 is: 194,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,696.30 : 194,699.70 = 138,696.30 : x
  2. Step 2: Convert to fraction form
    138,696.30/194,699.70 = 138,696.30/x
  3. Step 3: Cross multiply
    138,696.30x = 194,699.70 × 138,696.30
  4. Step 4: Simplify right side
    138,696.30x = 27,004,128,001.11
  5. Step 5: Solve for x
    x = 27,004,128,001.11/138,696.30
  6. Step 6: Final answer
    x = 194,699.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.