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Finding the Fourth Proportional to 97,741.30, 137,114.30 and 97,741.30

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Solution

The fourth proportional to 97,741.30, 137,114.30 and 97,741.30 is: 137,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,741.30 : 137,114.30 = 97,741.30 : x
  2. Step 2: Convert to fraction form
    97,741.30/137,114.30 = 97,741.30/x
  3. Step 3: Cross multiply
    97,741.30x = 137,114.30 × 97,741.30
  4. Step 4: Simplify right side
    97,741.30x = 13,401,729,930.59
  5. Step 5: Solve for x
    x = 13,401,729,930.59/97,741.30
  6. Step 6: Final answer
    x = 137,114.30

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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.