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Finding the Fourth Proportional to 209,692.09, 289,373.07 and 114,200.38

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Solution

The fourth proportional to 209,692.09, 289,373.07 and 114,200.38 is: 157,595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,692.09 : 289,373.07 = 114,200.38 : x
  2. Step 2: Convert to fraction form
    209,692.09/289,373.07 = 114,200.38/x
  3. Step 3: Cross multiply
    209,692.09x = 289,373.07 × 114,200.38
  4. Step 4: Simplify right side
    209,692.09x = 33,046,514,555.77
  5. Step 5: Solve for x
    x = 33,046,514,555.77/209,692.09
  6. Step 6: Final answer
    x = 157,595.43

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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.