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Finding the Fourth Proportional to 209,864.28, 289,604.28 and 114,368.96

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Solution

The fourth proportional to 209,864.28, 289,604.28 and 114,368.96 is: 157,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,864.28 : 289,604.28 = 114,368.96 : x
  2. Step 2: Convert to fraction form
    209,864.28/289,604.28 = 114,368.96/x
  3. Step 3: Cross multiply
    209,864.28x = 289,604.28 × 114,368.96
  4. Step 4: Simplify right side
    209,864.28x = 33,121,740,315.15
  5. Step 5: Solve for x
    x = 33,121,740,315.15/209,864.28
  6. Step 6: Final answer
    x = 157,824.57

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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.