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Finding the Fourth Proportional to 209,082.76, 288,513.39 and 118,420.63

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Solution

The fourth proportional to 209,082.76, 288,513.39 and 118,420.63 is: 163,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,082.76 : 288,513.39 = 118,420.63 : x
  2. Step 2: Convert to fraction form
    209,082.76/288,513.39 = 118,420.63/x
  3. Step 3: Cross multiply
    209,082.76x = 288,513.39 × 118,420.63
  4. Step 4: Simplify right side
    209,082.76x = 34,165,937,407.24
  5. Step 5: Solve for x
    x = 34,165,937,407.24/209,082.76
  6. Step 6: Final answer
    x = 163,408.68

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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.