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Finding the Fourth Proportional to 97,460.10, 146,190.15 and 81,713.70

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Solution

The fourth proportional to 97,460.10, 146,190.15 and 81,713.70 is: 122,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,460.10 : 146,190.15 = 81,713.70 : x
  2. Step 2: Convert to fraction form
    97,460.10/146,190.15 = 81,713.70/x
  3. Step 3: Cross multiply
    97,460.10x = 146,190.15 × 81,713.70
  4. Step 4: Simplify right side
    97,460.10x = 11,945,738,060.06
  5. Step 5: Solve for x
    x = 11,945,738,060.06/97,460.10
  6. Step 6: Final answer
    x = 122,570.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.