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Finding the Fourth Proportional to 209,299.52, 288,831.24 and 113,806.24

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Solution

The fourth proportional to 209,299.52, 288,831.24 and 113,806.24 is: 157,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,299.52 : 288,831.24 = 113,806.24 : x
  2. Step 2: Convert to fraction form
    209,299.52/288,831.24 = 113,806.24/x
  3. Step 3: Cross multiply
    209,299.52x = 288,831.24 × 113,806.24
  4. Step 4: Simplify right side
    209,299.52x = 32,870,797,418.94
  5. Step 5: Solve for x
    x = 32,870,797,418.94/209,299.52
  6. Step 6: Final answer
    x = 157,051.47

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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.