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Finding the Fourth Proportional to 231,168.54, 346,823.64 and 207,325.38

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Solution

The fourth proportional to 231,168.54, 346,823.64 and 207,325.38 is: 311,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,168.54 : 346,823.64 = 207,325.38 : x
  2. Step 2: Convert to fraction form
    231,168.54/346,823.64 = 207,325.38/x
  3. Step 3: Cross multiply
    231,168.54x = 346,823.64 × 207,325.38
  4. Step 4: Simplify right side
    231,168.54x = 71,905,342,955.98
  5. Step 5: Solve for x
    x = 71,905,342,955.98/231,168.54
  6. Step 6: Final answer
    x = 311,051.59

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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.