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Finding the Fourth Proportional to 256,184.90, 384,291.36 and 106,440.33

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Solution

The fourth proportional to 256,184.90, 384,291.36 and 106,440.33 is: 159,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,184.90 : 384,291.36 = 106,440.33 : x
  2. Step 2: Convert to fraction form
    256,184.90/384,291.36 = 106,440.33/x
  3. Step 3: Cross multiply
    256,184.90x = 384,291.36 × 106,440.33
  4. Step 4: Simplify right side
    256,184.90x = 40,904,099,174.55
  5. Step 5: Solve for x
    x = 40,904,099,174.55/256,184.90
  6. Step 6: Final answer
    x = 159,666.32

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