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Finding the Fourth Proportional to 229,596.96, 344,421.24 and 61,123.86

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Solution

The fourth proportional to 229,596.96, 344,421.24 and 61,123.86 is: 91,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,596.96 : 344,421.24 = 61,123.86 : x
  2. Step 2: Convert to fraction form
    229,596.96/344,421.24 = 61,123.86/x
  3. Step 3: Cross multiply
    229,596.96x = 344,421.24 × 61,123.86
  4. Step 4: Simplify right side
    229,596.96x = 21,052,355,654.79
  5. Step 5: Solve for x
    x = 21,052,355,654.79/229,596.96
  6. Step 6: Final answer
    x = 91,692.66

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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.