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Finding the Fourth Proportional to 209,818.57, 289,541.50 and 114,325.98

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Solution

The fourth proportional to 209,818.57, 289,541.50 and 114,325.98 is: 157,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,818.57 : 289,541.50 = 114,325.98 : x
  2. Step 2: Convert to fraction form
    209,818.57/289,541.50 = 114,325.98/x
  3. Step 3: Cross multiply
    209,818.57x = 289,541.50 × 114,325.98
  4. Step 4: Simplify right side
    209,818.57x = 33,102,115,452.36
  5. Step 5: Solve for x
    x = 33,102,115,452.36/209,818.57
  6. Step 6: Final answer
    x = 157,765.42

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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.