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Finding the Fourth Proportional to 234,792, 324,012.96 and 134,192.16

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Solution

The fourth proportional to 234,792, 324,012.96 and 134,192.16 is: 185,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,792 : 324,012.96 = 134,192.16 : x
  2. Step 2: Convert to fraction form
    234,792/324,012.96 = 134,192.16/x
  3. Step 3: Cross multiply
    234,792x = 324,012.96 × 134,192.16
  4. Step 4: Simplify right side
    234,792x = 43,479,998,970.39
  5. Step 5: Solve for x
    x = 43,479,998,970.39/234,792
  6. Step 6: Final answer
    x = 185,185.18

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Why These Related Problems?

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