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Finding the Fourth Proportional to 209,650.28, 289,284.82 and 120,209

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Solution

The fourth proportional to 209,650.28, 289,284.82 and 120,209 is: 165,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,650.28 : 289,284.82 = 120,209 : x
  2. Step 2: Convert to fraction form
    209,650.28/289,284.82 = 120,209/x
  3. Step 3: Cross multiply
    209,650.28x = 289,284.82 × 120,209
  4. Step 4: Simplify right side
    209,650.28x = 34,774,638,927.38
  5. Step 5: Solve for x
    x = 34,774,638,927.38/209,650.28
  6. Step 6: Final answer
    x = 165,869.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.