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Finding the Fourth Proportional to 131,648.40, 197,602.20 and 65,163.60

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Solution

The fourth proportional to 131,648.40, 197,602.20 and 65,163.60 is: 97,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,648.40 : 197,602.20 = 65,163.60 : x
  2. Step 2: Convert to fraction form
    131,648.40/197,602.20 = 65,163.60/x
  3. Step 3: Cross multiply
    131,648.40x = 197,602.20 × 65,163.60
  4. Step 4: Simplify right side
    131,648.40x = 12,876,470,719.92
  5. Step 5: Solve for x
    x = 12,876,470,719.92/131,648.40
  6. Step 6: Final answer
    x = 97,809.55

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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.