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Finding the Fourth Proportional to 209,863.89, 289,604.84 and 114,368.67

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Solution

The fourth proportional to 209,863.89, 289,604.84 and 114,368.67 is: 157,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,863.89 : 289,604.84 = 114,368.67 : x
  2. Step 2: Convert to fraction form
    209,863.89/289,604.84 = 114,368.67/x
  3. Step 3: Cross multiply
    209,863.89x = 289,604.84 × 114,368.67
  4. Step 4: Simplify right side
    209,863.89x = 33,121,719,804.52
  5. Step 5: Solve for x
    x = 33,121,719,804.52/209,863.89
  6. Step 6: Final answer
    x = 157,824.77

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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.