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Finding the Fourth Proportional to 209,660.94, 289,256.12 and 118,964.38

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Solution

The fourth proportional to 209,660.94, 289,256.12 and 118,964.38 is: 164,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,660.94 : 289,256.12 = 118,964.38 : x
  2. Step 2: Convert to fraction form
    209,660.94/289,256.12 = 118,964.38/x
  3. Step 3: Cross multiply
    209,660.94x = 289,256.12 × 118,964.38
  4. Step 4: Simplify right side
    209,660.94x = 34,411,174,977.01
  5. Step 5: Solve for x
    x = 34,411,174,977.01/209,660.94
  6. Step 6: Final answer
    x = 164,127.73

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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.