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Finding the Fourth Proportional to 208,035.29, 287,096.84 and 121,982.31

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Solution

The fourth proportional to 208,035.29, 287,096.84 and 121,982.31 is: 168,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,035.29 : 287,096.84 = 121,982.31 : x
  2. Step 2: Convert to fraction form
    208,035.29/287,096.84 = 121,982.31/x
  3. Step 3: Cross multiply
    208,035.29x = 287,096.84 × 121,982.31
  4. Step 4: Simplify right side
    208,035.29x = 35,020,736,041.86
  5. Step 5: Solve for x
    x = 35,020,736,041.86/208,035.29
  6. Step 6: Final answer
    x = 168,340.36

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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.