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Finding the Fourth Proportional to 234,444.06, 323,532.36 and 127,017

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Solution

The fourth proportional to 234,444.06, 323,532.36 and 127,017 is: 175,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,444.06 : 323,532.36 = 127,017 : x
  2. Step 2: Convert to fraction form
    234,444.06/323,532.36 = 127,017/x
  3. Step 3: Cross multiply
    234,444.06x = 323,532.36 × 127,017
  4. Step 4: Simplify right side
    234,444.06x = 41,094,109,770.12
  5. Step 5: Solve for x
    x = 41,094,109,770.12/234,444.06
  6. Step 6: Final answer
    x = 175,283.22

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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.