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Finding the Fourth Proportional to 209,996.96, 289,789.44 and 114,505.52

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Solution

The fourth proportional to 209,996.96, 289,789.44 and 114,505.52 is: 158,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,996.96 : 289,789.44 = 114,505.52 : x
  2. Step 2: Convert to fraction form
    209,996.96/289,789.44 = 114,505.52/x
  3. Step 3: Cross multiply
    209,996.96x = 289,789.44 × 114,505.52
  4. Step 4: Simplify right side
    209,996.96x = 33,182,490,517.71
  5. Step 5: Solve for x
    x = 33,182,490,517.71/209,996.96
  6. Step 6: Final answer
    x = 158,014.15

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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.