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Finding the Fourth Proportional to 229,015.53, 343,172.99 and 122,414.67

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Solution

The fourth proportional to 229,015.53, 343,172.99 and 122,414.67 is: 183,434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,015.53 : 343,172.99 = 122,414.67 : x
  2. Step 2: Convert to fraction form
    229,015.53/343,172.99 = 122,414.67/x
  3. Step 3: Cross multiply
    229,015.53x = 343,172.99 × 122,414.67
  4. Step 4: Simplify right side
    229,015.53x = 42,009,407,941.22
  5. Step 5: Solve for x
    x = 42,009,407,941.22/229,015.53
  6. Step 6: Final answer
    x = 183,434.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.