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Finding the Fourth Proportional to 209,882.32, 289,629.12 and 114,386.96

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Solution

The fourth proportional to 209,882.32, 289,629.12 and 114,386.96 is: 157,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,882.32 : 289,629.12 = 114,386.96 : x
  2. Step 2: Convert to fraction form
    209,882.32/289,629.12 = 114,386.96/x
  3. Step 3: Cross multiply
    209,882.32x = 289,629.12 × 114,386.96
  4. Step 4: Simplify right side
    209,882.32x = 33,129,794,564.28
  5. Step 5: Solve for x
    x = 33,129,794,564.28/209,882.32
  6. Step 6: Final answer
    x = 157,849.38

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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.