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Finding the Fourth Proportional to 209,544.51, 289,171.46 and 114,051.90

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Solution

The fourth proportional to 209,544.51, 289,171.46 and 114,051.90 is: 157,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,544.51 : 289,171.46 = 114,051.90 : x
  2. Step 2: Convert to fraction form
    209,544.51/289,171.46 = 114,051.90/x
  3. Step 3: Cross multiply
    209,544.51x = 289,171.46 × 114,051.90
  4. Step 4: Simplify right side
    209,544.51x = 32,980,553,868.51
  5. Step 5: Solve for x
    x = 32,980,553,868.51/209,544.51
  6. Step 6: Final answer
    x = 157,391.64

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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.