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Finding the Fourth Proportional to 209,711.70, 289,405.44 and 114,218.34

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Solution

The fourth proportional to 209,711.70, 289,405.44 and 114,218.34 is: 157,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,711.70 : 289,405.44 = 114,218.34 : x
  2. Step 2: Convert to fraction form
    209,711.70/289,405.44 = 114,218.34/x
  3. Step 3: Cross multiply
    209,711.70x = 289,405.44 × 114,218.34
  4. Step 4: Simplify right side
    209,711.70x = 33,055,408,943.77
  5. Step 5: Solve for x
    x = 33,055,408,943.77/209,711.70
  6. Step 6: Final answer
    x = 157,623.10

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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.