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Finding the Fourth Proportional to 209,474.94, 289,080.36 and 118,837.02

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Solution

The fourth proportional to 209,474.94, 289,080.36 and 118,837.02 is: 163,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,474.94 : 289,080.36 = 118,837.02 : x
  2. Step 2: Convert to fraction form
    209,474.94/289,080.36 = 118,837.02/x
  3. Step 3: Cross multiply
    209,474.94x = 289,080.36 × 118,837.02
  4. Step 4: Simplify right side
    209,474.94x = 34,353,448,522.93
  5. Step 5: Solve for x
    x = 34,353,448,522.93/209,474.94
  6. Step 6: Final answer
    x = 163,997.89

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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.