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Finding the Fourth Proportional to 209,497.38, 289,106.19 and 114,003.90

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Solution

The fourth proportional to 209,497.38, 289,106.19 and 114,003.90 is: 157,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,497.38 : 289,106.19 = 114,003.90 : x
  2. Step 2: Convert to fraction form
    209,497.38/289,106.19 = 114,003.90/x
  3. Step 3: Cross multiply
    209,497.38x = 289,106.19 × 114,003.90
  4. Step 4: Simplify right side
    209,497.38x = 32,959,233,174.14
  5. Step 5: Solve for x
    x = 32,959,233,174.14/209,497.38
  6. Step 6: Final answer
    x = 157,325.28

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Why These Related Problems?

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