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Finding the Fourth Proportional to 139,609.34, 209,423.87 and 39,777.65

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Solution

The fourth proportional to 139,609.34, 209,423.87 and 39,777.65 is: 59,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,609.34 : 209,423.87 = 39,777.65 : x
  2. Step 2: Convert to fraction form
    139,609.34/209,423.87 = 39,777.65/x
  3. Step 3: Cross multiply
    139,609.34x = 209,423.87 × 39,777.65
  4. Step 4: Simplify right side
    139,609.34x = 8,330,389,203.62
  5. Step 5: Solve for x
    x = 8,330,389,203.62/139,609.34
  6. Step 6: Final answer
    x = 59,669.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.