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Finding the Fourth Proportional to 97,843.10, 137,072.50 and 97,843.10

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Solution

The fourth proportional to 97,843.10, 137,072.50 and 97,843.10 is: 137,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,843.10 : 137,072.50 = 97,843.10 : x
  2. Step 2: Convert to fraction form
    97,843.10/137,072.50 = 97,843.10/x
  3. Step 3: Cross multiply
    97,843.10x = 137,072.50 × 97,843.10
  4. Step 4: Simplify right side
    97,843.10x = 13,411,598,324.75
  5. Step 5: Solve for x
    x = 13,411,598,324.75/97,843.10
  6. Step 6: Final answer
    x = 137,072.50

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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.