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Finding the Fourth Proportional to 234,722.16, 323,907.84 and 139,171.68

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Solution

The fourth proportional to 234,722.16, 323,907.84 and 139,171.68 is: 192,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,722.16 : 323,907.84 = 139,171.68 : x
  2. Step 2: Convert to fraction form
    234,722.16/323,907.84 = 139,171.68/x
  3. Step 3: Cross multiply
    234,722.16x = 323,907.84 × 139,171.68
  4. Step 4: Simplify right side
    234,722.16x = 45,078,798,257.97
  5. Step 5: Solve for x
    x = 45,078,798,257.97/234,722.16
  6. Step 6: Final answer
    x = 192,051.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.