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Finding the Fourth Proportional to 209,685.64, 289,356.96 and 114,186.64

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Solution

The fourth proportional to 209,685.64, 289,356.96 and 114,186.64 is: 157,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,685.64 : 289,356.96 = 114,186.64 : x
  2. Step 2: Convert to fraction form
    209,685.64/289,356.96 = 114,186.64/x
  3. Step 3: Cross multiply
    209,685.64x = 289,356.96 × 114,186.64
  4. Step 4: Simplify right side
    209,685.64x = 33,040,699,023.01
  5. Step 5: Solve for x
    x = 33,040,699,023.01/209,685.64
  6. Step 6: Final answer
    x = 157,572.54

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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.