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Finding the Fourth Proportional to 209,595.51, 289,232.73 and 114,102.54

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Solution

The fourth proportional to 209,595.51, 289,232.73 and 114,102.54 is: 157,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,595.51 : 289,232.73 = 114,102.54 : x
  2. Step 2: Convert to fraction form
    209,595.51/289,232.73 = 114,102.54/x
  3. Step 3: Cross multiply
    209,595.51x = 289,232.73 × 114,102.54
  4. Step 4: Simplify right side
    209,595.51x = 33,002,189,144.13
  5. Step 5: Solve for x
    x = 33,002,189,144.13/209,595.51
  6. Step 6: Final answer
    x = 157,456.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.