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Finding the Fourth Proportional to 209,565.36, 289,206.72 and 114,078.42

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Solution

The fourth proportional to 209,565.36, 289,206.72 and 114,078.42 is: 157,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,565.36 : 289,206.72 = 114,078.42 : x
  2. Step 2: Convert to fraction form
    209,565.36/289,206.72 = 114,078.42/x
  3. Step 3: Cross multiply
    209,565.36x = 289,206.72 × 114,078.42
  4. Step 4: Simplify right side
    209,565.36x = 32,992,245,670.98
  5. Step 5: Solve for x
    x = 32,992,245,670.98/209,565.36
  6. Step 6: Final answer
    x = 157,431.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.