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Finding the Fourth Proportional to 209,963.22, 289,753.76 and 114,470.56

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Solution

The fourth proportional to 209,963.22, 289,753.76 and 114,470.56 is: 157,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,963.22 : 289,753.76 = 114,470.56 : x
  2. Step 2: Convert to fraction form
    209,963.22/289,753.76 = 114,470.56/x
  3. Step 3: Cross multiply
    209,963.22x = 289,753.76 × 114,470.56
  4. Step 4: Simplify right side
    209,963.22x = 33,168,275,169.31
  5. Step 5: Solve for x
    x = 33,168,275,169.31/209,963.22
  6. Step 6: Final answer
    x = 157,971.84

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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.