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Finding the Fourth Proportional to 209,456.62, 289,056.23 and 113,969.46

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Solution

The fourth proportional to 209,456.62, 289,056.23 and 113,969.46 is: 157,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,456.62 : 289,056.23 = 113,969.46 : x
  2. Step 2: Convert to fraction form
    209,456.62/289,056.23 = 113,969.46/x
  3. Step 3: Cross multiply
    209,456.62x = 289,056.23 × 113,969.46
  4. Step 4: Simplify right side
    209,456.62x = 32,943,582,442.74
  5. Step 5: Solve for x
    x = 32,943,582,442.74/209,456.62
  6. Step 6: Final answer
    x = 157,281.17

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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.