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Finding the Fourth Proportional to 209,544.10, 289,170.82 and 114,051.49

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Solution

The fourth proportional to 209,544.10, 289,170.82 and 114,051.49 is: 157,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,544.10 : 289,170.82 = 114,051.49 : x
  2. Step 2: Convert to fraction form
    209,544.10/289,170.82 = 114,051.49/x
  3. Step 3: Cross multiply
    209,544.10x = 289,170.82 × 114,051.49
  4. Step 4: Simplify right side
    209,544.10x = 32,980,362,885.52
  5. Step 5: Solve for x
    x = 32,980,362,885.52/209,544.10
  6. Step 6: Final answer
    x = 157,391.04

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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.