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Finding the Fourth Proportional to 209,881.08, 289,641.96 and 114,393.96

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Solution

The fourth proportional to 209,881.08, 289,641.96 and 114,393.96 is: 157,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,881.08 : 289,641.96 = 114,393.96 : x
  2. Step 2: Convert to fraction form
    209,881.08/289,641.96 = 114,393.96/x
  3. Step 3: Cross multiply
    209,881.08x = 289,641.96 × 114,393.96
  4. Step 4: Simplify right side
    209,881.08x = 33,133,290,786.56
  5. Step 5: Solve for x
    x = 33,133,290,786.56/209,881.08
  6. Step 6: Final answer
    x = 157,866.97

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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.