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Finding the Fourth Proportional to 209,770.90, 289,484.37 and 114,278.29

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Solution

The fourth proportional to 209,770.90, 289,484.37 and 114,278.29 is: 157,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,770.90 : 289,484.37 = 114,278.29 : x
  2. Step 2: Convert to fraction form
    209,770.90/289,484.37 = 114,278.29/x
  3. Step 3: Cross multiply
    209,770.90x = 289,484.37 × 114,278.29
  4. Step 4: Simplify right side
    209,770.90x = 33,081,778,785.33
  5. Step 5: Solve for x
    x = 33,081,778,785.33/209,770.90
  6. Step 6: Final answer
    x = 157,704.33

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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.