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Finding the Fourth Proportional to 209,607.51, 289,249.29 and 114,114.54

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Solution

The fourth proportional to 209,607.51, 289,249.29 and 114,114.54 is: 157,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,607.51 : 289,249.29 = 114,114.54 : x
  2. Step 2: Convert to fraction form
    209,607.51/289,249.29 = 114,114.54/x
  3. Step 3: Cross multiply
    209,607.51x = 289,249.29 × 114,114.54
  4. Step 4: Simplify right side
    209,607.51x = 33,007,549,673.68
  5. Step 5: Solve for x
    x = 33,007,549,673.68/209,607.51
  6. Step 6: Final answer
    x = 157,473.13

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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.