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Finding the Fourth Proportional to 209,879.60, 289,625.34 and 114,384.20

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Solution

The fourth proportional to 209,879.60, 289,625.34 and 114,384.20 is: 157,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,879.60 : 289,625.34 = 114,384.20 : x
  2. Step 2: Convert to fraction form
    209,879.60/289,625.34 = 114,384.20/x
  3. Step 3: Cross multiply
    209,879.60x = 289,625.34 × 114,384.20
  4. Step 4: Simplify right side
    209,879.60x = 33,128,562,815.63
  5. Step 5: Solve for x
    x = 33,128,562,815.63/209,879.60
  6. Step 6: Final answer
    x = 157,845.56

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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.