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Finding the Fourth Proportional to 274,731.64, 412,098.56 and 97,238.68

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Solution

The fourth proportional to 274,731.64, 412,098.56 and 97,238.68 is: 145,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,731.64 : 412,098.56 = 97,238.68 : x
  2. Step 2: Convert to fraction form
    274,731.64/412,098.56 = 97,238.68/x
  3. Step 3: Cross multiply
    274,731.64x = 412,098.56 × 97,238.68
  4. Step 4: Simplify right side
    274,731.64x = 40,071,920,004.30
  5. Step 5: Solve for x
    x = 40,071,920,004.30/274,731.64
  6. Step 6: Final answer
    x = 145,858.41

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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.