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Finding the Fourth Proportional to 231,165.54, 346,819.14 and 207,322.38

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Solution

The fourth proportional to 231,165.54, 346,819.14 and 207,322.38 is: 311,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,165.54 : 346,819.14 = 207,322.38 : x
  2. Step 2: Convert to fraction form
    231,165.54/346,819.14 = 207,322.38/x
  3. Step 3: Cross multiply
    231,165.54x = 346,819.14 × 207,322.38
  4. Step 4: Simplify right side
    231,165.54x = 71,903,369,534.35
  5. Step 5: Solve for x
    x = 71,903,369,534.35/231,165.54
  6. Step 6: Final answer
    x = 311,047.09

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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.