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Finding the Fourth Proportional to 209,302.26, 288,836.46 and 113,809.20

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Solution

The fourth proportional to 209,302.26, 288,836.46 and 113,809.20 is: 157,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,302.26 : 288,836.46 = 113,809.20 : x
  2. Step 2: Convert to fraction form
    209,302.26/288,836.46 = 113,809.20/x
  3. Step 3: Cross multiply
    209,302.26x = 288,836.46 × 113,809.20
  4. Step 4: Simplify right side
    209,302.26x = 32,872,246,443.43
  5. Step 5: Solve for x
    x = 32,872,246,443.43/209,302.26
  6. Step 6: Final answer
    x = 157,056.34

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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.