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Finding the Fourth Proportional to 209,082.26, 288,512.70 and 118,420.14

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Solution

The fourth proportional to 209,082.26, 288,512.70 and 118,420.14 is: 163,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,082.26 : 288,512.70 = 118,420.14 : x
  2. Step 2: Convert to fraction form
    209,082.26/288,512.70 = 118,420.14/x
  3. Step 3: Cross multiply
    209,082.26x = 288,512.70 × 118,420.14
  4. Step 4: Simplify right side
    209,082.26x = 34,165,714,325.78
  5. Step 5: Solve for x
    x = 34,165,714,325.78/209,082.26
  6. Step 6: Final answer
    x = 163,408.00

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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.