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Finding the Fourth Proportional to 97,738.30, 137,110.10 and 97,738.30

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Solution

The fourth proportional to 97,738.30, 137,110.10 and 97,738.30 is: 137,110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,738.30 : 137,110.10 = 97,738.30 : x
  2. Step 2: Convert to fraction form
    97,738.30/137,110.10 = 97,738.30/x
  3. Step 3: Cross multiply
    97,738.30x = 137,110.10 × 97,738.30
  4. Step 4: Simplify right side
    97,738.30x = 13,400,908,086.83
  5. Step 5: Solve for x
    x = 13,400,908,086.83/97,738.30
  6. Step 6: Final answer
    x = 137,110.10

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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.