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Finding the Fourth Proportional to 209,522.53, 289,142.37 and 114,030.21

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Solution

The fourth proportional to 209,522.53, 289,142.37 and 114,030.21 is: 157,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,522.53 : 289,142.37 = 114,030.21 : x
  2. Step 2: Convert to fraction form
    209,522.53/289,142.37 = 114,030.21/x
  3. Step 3: Cross multiply
    209,522.53x = 289,142.37 × 114,030.21
  4. Step 4: Simplify right side
    209,522.53x = 32,970,964,600.85
  5. Step 5: Solve for x
    x = 32,970,964,600.85/209,522.53
  6. Step 6: Final answer
    x = 157,362.39

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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.