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Finding the Fourth Proportional to 209,504.37, 289,122.59 and 118,864.16

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Solution

The fourth proportional to 209,504.37, 289,122.59 and 118,864.16 is: 164,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,504.37 : 289,122.59 = 118,864.16 : x
  2. Step 2: Convert to fraction form
    209,504.37/289,122.59 = 118,864.16/x
  3. Step 3: Cross multiply
    209,504.37x = 289,122.59 × 118,864.16
  4. Step 4: Simplify right side
    209,504.37x = 34,366,313,797.37
  5. Step 5: Solve for x
    x = 34,366,313,797.37/209,504.37
  6. Step 6: Final answer
    x = 164,036.26

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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.