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Finding the Fourth Proportional to 209,689.26, 289,383.30 and 157,913.66

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Solution

The fourth proportional to 209,689.26, 289,383.30 and 157,913.66 is: 217,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,689.26 : 289,383.30 = 157,913.66 : x
  2. Step 2: Convert to fraction form
    209,689.26/289,383.30 = 157,913.66/x
  3. Step 3: Cross multiply
    209,689.26x = 289,383.30 × 157,913.66
  4. Step 4: Simplify right side
    209,689.26x = 45,697,576,045.88
  5. Step 5: Solve for x
    x = 45,697,576,045.88/209,689.26
  6. Step 6: Final answer
    x = 217,929.98

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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.