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Finding the Fourth Proportional to 209,806.68, 289,529.55 and 114,314.07

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Solution

The fourth proportional to 209,806.68, 289,529.55 and 114,314.07 is: 157,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,806.68 : 289,529.55 = 114,314.07 : x
  2. Step 2: Convert to fraction form
    209,806.68/289,529.55 = 114,314.07/x
  3. Step 3: Cross multiply
    209,806.68x = 289,529.55 × 114,314.07
  4. Step 4: Simplify right side
    209,806.68x = 33,097,301,245.77
  5. Step 5: Solve for x
    x = 33,097,301,245.77/209,806.68
  6. Step 6: Final answer
    x = 157,751.42

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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.