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Finding the Fourth Proportional to 209,871.06, 289,613.61 and 114,375.69

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Solution

The fourth proportional to 209,871.06, 289,613.61 and 114,375.69 is: 157,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,871.06 : 289,613.61 = 114,375.69 : x
  2. Step 2: Convert to fraction form
    209,871.06/289,613.61 = 114,375.69/x
  3. Step 3: Cross multiply
    209,871.06x = 289,613.61 × 114,375.69
  4. Step 4: Simplify right side
    209,871.06x = 33,124,756,477.14
  5. Step 5: Solve for x
    x = 33,124,756,477.14/209,871.06
  6. Step 6: Final answer
    x = 157,833.85

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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.