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Finding the Fourth Proportional to 209,950.27, 289,725.59 and 114,456.94

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Solution

The fourth proportional to 209,950.27, 289,725.59 and 114,456.94 is: 157,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,950.27 : 289,725.59 = 114,456.94 : x
  2. Step 2: Convert to fraction form
    209,950.27/289,725.59 = 114,456.94/x
  3. Step 3: Cross multiply
    209,950.27x = 289,725.59 × 114,456.94
  4. Step 4: Simplify right side
    209,950.27x = 33,161,104,032.92
  5. Step 5: Solve for x
    x = 33,161,104,032.92/209,950.27
  6. Step 6: Final answer
    x = 157,947.42

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1.5x scale

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.