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Finding the Fourth Proportional to 209,692.56, 289,366.72 and 114,199.48

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Solution

The fourth proportional to 209,692.56, 289,366.72 and 114,199.48 is: 157,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,692.56 : 289,366.72 = 114,199.48 : x
  2. Step 2: Convert to fraction form
    209,692.56/289,366.72 = 114,199.48/x
  3. Step 3: Cross multiply
    209,692.56x = 289,366.72 × 114,199.48
  4. Step 4: Simplify right side
    209,692.56x = 33,045,528,953.31
  5. Step 5: Solve for x
    x = 33,045,528,953.31/209,692.56
  6. Step 6: Final answer
    x = 157,590.37

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1.5x scale

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.