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Finding the Fourth Proportional to 209,942.95, 289,692.04 and 123,905.53

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Solution

The fourth proportional to 209,942.95, 289,692.04 and 123,905.53 is: 170,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,942.95 : 289,692.04 = 123,905.53 : x
  2. Step 2: Convert to fraction form
    209,942.95/289,692.04 = 123,905.53/x
  3. Step 3: Cross multiply
    209,942.95x = 289,692.04 × 123,905.53
  4. Step 4: Simplify right side
    209,942.95x = 35,894,445,752.98
  5. Step 5: Solve for x
    x = 35,894,445,752.98/209,942.95
  6. Step 6: Final answer
    x = 170,972.38

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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.