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Finding the Fourth Proportional to 209,596.25, 289,242.83 and 114,097.25

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Solution

The fourth proportional to 209,596.25, 289,242.83 and 114,097.25 is: 157,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,596.25 : 289,242.83 = 114,097.25 : x
  2. Step 2: Convert to fraction form
    209,596.25/289,242.83 = 114,097.25/x
  3. Step 3: Cross multiply
    209,596.25x = 289,242.83 × 114,097.25
  4. Step 4: Simplify right side
    209,596.25x = 33,001,811,485.22
  5. Step 5: Solve for x
    x = 33,001,811,485.22/209,596.25
  6. Step 6: Final answer
    x = 157,454.21

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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.