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Finding the Fourth Proportional to 209,384.25, 289,001.61 and 118,793.25

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Solution

The fourth proportional to 209,384.25, 289,001.61 and 118,793.25 is: 163,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,384.25 : 289,001.61 = 118,793.25 : x
  2. Step 2: Convert to fraction form
    209,384.25/289,001.61 = 118,793.25/x
  3. Step 3: Cross multiply
    209,384.25x = 289,001.61 × 118,793.25
  4. Step 4: Simplify right side
    209,384.25x = 34,331,439,120.85
  5. Step 5: Solve for x
    x = 34,331,439,120.85/209,384.25
  6. Step 6: Final answer
    x = 163,963.81

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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.