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Finding the Fourth Proportional to 209,546.96, 289,165.96 and 114,053.84

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Solution

The fourth proportional to 209,546.96, 289,165.96 and 114,053.84 is: 157,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,546.96 : 289,165.96 = 114,053.84 : x
  2. Step 2: Convert to fraction form
    209,546.96/289,165.96 = 114,053.84/x
  3. Step 3: Cross multiply
    209,546.96x = 289,165.96 × 114,053.84
  4. Step 4: Simplify right side
    209,546.96x = 32,980,488,135.29
  5. Step 5: Solve for x
    x = 32,980,488,135.29/209,546.96
  6. Step 6: Final answer
    x = 157,389.49

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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.