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Finding the Fourth Proportional to 209,850.81, 289,593.15 and 114,357.48

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Solution

The fourth proportional to 209,850.81, 289,593.15 and 114,357.48 is: 157,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,850.81 : 289,593.15 = 114,357.48 : x
  2. Step 2: Convert to fraction form
    209,850.81/289,593.15 = 114,357.48/x
  3. Step 3: Cross multiply
    209,850.81x = 289,593.15 × 114,357.48
  4. Step 4: Simplify right side
    209,850.81x = 33,117,142,859.26
  5. Step 5: Solve for x
    x = 33,117,142,859.26/209,850.81
  6. Step 6: Final answer
    x = 157,812.80

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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.