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Finding the Fourth Proportional to 209,913.68, 289,683.90 and 114,420.38

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Solution

The fourth proportional to 209,913.68, 289,683.90 and 114,420.38 is: 157,901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,913.68 : 289,683.90 = 114,420.38 : x
  2. Step 2: Convert to fraction form
    209,913.68/289,683.90 = 114,420.38/x
  3. Step 3: Cross multiply
    209,913.68x = 289,683.90 × 114,420.38
  4. Step 4: Simplify right side
    209,913.68x = 33,145,741,917.88
  5. Step 5: Solve for x
    x = 33,145,741,917.88/209,913.68
  6. Step 6: Final answer
    x = 157,901.77

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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.