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Finding the Fourth Proportional to 209,765.96, 289,474.40 and 114,270.60

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Solution

The fourth proportional to 209,765.96, 289,474.40 and 114,270.60 is: 157,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,765.96 : 289,474.40 = 114,270.60 : x
  2. Step 2: Convert to fraction form
    209,765.96/289,474.40 = 114,270.60/x
  3. Step 3: Cross multiply
    209,765.96x = 289,474.40 × 114,270.60
  4. Step 4: Simplify right side
    209,765.96x = 33,078,413,372.64
  5. Step 5: Solve for x
    x = 33,078,413,372.64/209,765.96
  6. Step 6: Final answer
    x = 157,692.00

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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.