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Finding the Fourth Proportional to 209,630.30, 289,295.01 and 114,142.23

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Solution

The fourth proportional to 209,630.30, 289,295.01 and 114,142.23 is: 157,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,630.30 : 289,295.01 = 114,142.23 : x
  2. Step 2: Convert to fraction form
    209,630.30/289,295.01 = 114,142.23/x
  3. Step 3: Cross multiply
    209,630.30x = 289,295.01 × 114,142.23
  4. Step 4: Simplify right side
    209,630.30x = 33,020,777,569.27
  5. Step 5: Solve for x
    x = 33,020,777,569.27/209,630.30
  6. Step 6: Final answer
    x = 157,519.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.