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Finding the Fourth Proportional to 97,847.10, 137,078.10 and 97,847.10

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Solution

The fourth proportional to 97,847.10, 137,078.10 and 97,847.10 is: 137,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,847.10 : 137,078.10 = 97,847.10 : x
  2. Step 2: Convert to fraction form
    97,847.10/137,078.10 = 97,847.10/x
  3. Step 3: Cross multiply
    97,847.10x = 137,078.10 × 97,847.10
  4. Step 4: Simplify right side
    97,847.10x = 13,412,694,558.51
  5. Step 5: Solve for x
    x = 13,412,694,558.51/97,847.10
  6. Step 6: Final answer
    x = 137,078.10

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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.