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Finding the Fourth Proportional to 234,546.32, 323,674.48 and 127,116.32

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Solution

The fourth proportional to 234,546.32, 323,674.48 and 127,116.32 is: 175,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,546.32 : 323,674.48 = 127,116.32 : x
  2. Step 2: Convert to fraction form
    234,546.32/323,674.48 = 127,116.32/x
  3. Step 3: Cross multiply
    234,546.32x = 323,674.48 × 127,116.32
  4. Step 4: Simplify right side
    234,546.32x = 41,144,308,775.51
  5. Step 5: Solve for x
    x = 41,144,308,775.51/234,546.32
  6. Step 6: Final answer
    x = 175,420.82

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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.