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Finding the Fourth Proportional to 209,608.62, 289,258.16 and 114,115.12

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Solution

The fourth proportional to 209,608.62, 289,258.16 and 114,115.12 is: 157,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,608.62 : 289,258.16 = 114,115.12 : x
  2. Step 2: Convert to fraction form
    209,608.62/289,258.16 = 114,115.12/x
  3. Step 3: Cross multiply
    209,608.62x = 289,258.16 × 114,115.12
  4. Step 4: Simplify right side
    209,608.62x = 33,008,729,639.38
  5. Step 5: Solve for x
    x = 33,008,729,639.38/209,608.62
  6. Step 6: Final answer
    x = 157,477.92

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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.