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Finding the Fourth Proportional to 231,564.60, 347,298.30 and 65,313.72

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Solution

The fourth proportional to 231,564.60, 347,298.30 and 65,313.72 is: 97,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,564.60 : 347,298.30 = 65,313.72 : x
  2. Step 2: Convert to fraction form
    231,564.60/347,298.30 = 65,313.72/x
  3. Step 3: Cross multiply
    231,564.60x = 347,298.30 × 65,313.72
  4. Step 4: Simplify right side
    231,564.60x = 22,683,343,922.68
  5. Step 5: Solve for x
    x = 22,683,343,922.68/231,564.60
  6. Step 6: Final answer
    x = 97,956.87

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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.