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Finding the Fourth Proportional to 139,906.70, 209,783.10 and 95,583.50

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Solution

The fourth proportional to 139,906.70, 209,783.10 and 95,583.50 is: 143,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,906.70 : 209,783.10 = 95,583.50 : x
  2. Step 2: Convert to fraction form
    139,906.70/209,783.10 = 95,583.50/x
  3. Step 3: Cross multiply
    139,906.70x = 209,783.10 × 95,583.50
  4. Step 4: Simplify right side
    139,906.70x = 20,051,802,938.85
  5. Step 5: Solve for x
    x = 20,051,802,938.85/139,906.70
  6. Step 6: Final answer
    x = 143,322.68

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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.