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Finding the Fourth Proportional to 97,247.54, 134,238.50 and 65,434.89

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Solution

The fourth proportional to 97,247.54, 134,238.50 and 65,434.89 is: 90,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,247.54 : 134,238.50 = 65,434.89 : x
  2. Step 2: Convert to fraction form
    97,247.54/134,238.50 = 65,434.89/x
  3. Step 3: Cross multiply
    97,247.54x = 134,238.50 × 65,434.89
  4. Step 4: Simplify right side
    97,247.54x = 8,783,881,154.09
  5. Step 5: Solve for x
    x = 8,783,881,154.09/97,247.54
  6. Step 6: Final answer
    x = 90,324.97

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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.