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Finding the Fourth Proportional to 231,558.85, 347,289.68 and 65,307.97

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Solution

The fourth proportional to 231,558.85, 347,289.68 and 65,307.97 is: 97,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,558.85 : 347,289.68 = 65,307.97 : x
  2. Step 2: Convert to fraction form
    231,558.85/347,289.68 = 65,307.97/x
  3. Step 3: Cross multiply
    231,558.85x = 347,289.68 × 65,307.97
  4. Step 4: Simplify right side
    231,558.85x = 22,680,784,232.77
  5. Step 5: Solve for x
    x = 22,680,784,232.77/231,558.85
  6. Step 6: Final answer
    x = 97,948.25

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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.