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Finding the Fourth Proportional to 209,611.65, 289,269.28 and 114,123.58

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Solution

The fourth proportional to 209,611.65, 289,269.28 and 114,123.58 is: 157,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,611.65 : 289,269.28 = 114,123.58 : x
  2. Step 2: Convert to fraction form
    209,611.65/289,269.28 = 114,123.58/x
  3. Step 3: Cross multiply
    209,611.65x = 289,269.28 × 114,123.58
  4. Step 4: Simplify right side
    209,611.65x = 33,012,446,222.30
  5. Step 5: Solve for x
    x = 33,012,446,222.30/209,611.65
  6. Step 6: Final answer
    x = 157,493.38

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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.