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Finding the Fourth Proportional to 97,246.54, 134,237.12 and 65,433.90

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Solution

The fourth proportional to 97,246.54, 134,237.12 and 65,433.90 is: 90,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,246.54 : 134,237.12 = 65,433.90 : x
  2. Step 2: Convert to fraction form
    97,246.54/134,237.12 = 65,433.90/x
  3. Step 3: Cross multiply
    97,246.54x = 134,237.12 × 65,433.90
  4. Step 4: Simplify right side
    97,246.54x = 8,783,658,286.37
  5. Step 5: Solve for x
    x = 8,783,658,286.37/97,246.54
  6. Step 6: Final answer
    x = 90,323.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.