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Finding the Fourth Proportional to 209,191.94, 288,684.92 and 113,698.65

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Solution

The fourth proportional to 209,191.94, 288,684.92 and 113,698.65 is: 156,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,191.94 : 288,684.92 = 113,698.65 : x
  2. Step 2: Convert to fraction form
    209,191.94/288,684.92 = 113,698.65/x
  3. Step 3: Cross multiply
    209,191.94x = 288,684.92 × 113,698.65
  4. Step 4: Simplify right side
    209,191.94x = 32,823,085,679.36
  5. Step 5: Solve for x
    x = 32,823,085,679.36/209,191.94
  6. Step 6: Final answer
    x = 156,904.16

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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.