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Finding the Fourth Proportional to 131,263.10, 196,693.05 and 97,826.30

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Solution

The fourth proportional to 131,263.10, 196,693.05 and 97,826.30 is: 146,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,263.10 : 196,693.05 = 97,826.30 : x
  2. Step 2: Convert to fraction form
    131,263.10/196,693.05 = 97,826.30/x
  3. Step 3: Cross multiply
    131,263.10x = 196,693.05 × 97,826.30
  4. Step 4: Simplify right side
    131,263.10x = 19,241,753,317.22
  5. Step 5: Solve for x
    x = 19,241,753,317.22/131,263.10
  6. Step 6: Final answer
    x = 146,589.20

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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.