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Finding the Fourth Proportional to 209,461.14, 289,007.19 and 118,796.63

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Solution

The fourth proportional to 209,461.14, 289,007.19 and 118,796.63 is: 163,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,461.14 : 289,007.19 = 118,796.63 : x
  2. Step 2: Convert to fraction form
    209,461.14/289,007.19 = 118,796.63/x
  3. Step 3: Cross multiply
    209,461.14x = 289,007.19 × 118,796.63
  4. Step 4: Simplify right side
    209,461.14x = 34,333,078,772.73
  5. Step 5: Solve for x
    x = 34,333,078,772.73/209,461.14
  6. Step 6: Final answer
    x = 163,911.45

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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.