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Finding the Fourth Proportional to 234,825.16, 324,058.83 and 127,395.16

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Solution

The fourth proportional to 234,825.16, 324,058.83 and 127,395.16 is: 175,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,825.16 : 324,058.83 = 127,395.16 : x
  2. Step 2: Convert to fraction form
    234,825.16/324,058.83 = 127,395.16/x
  3. Step 3: Cross multiply
    234,825.16x = 324,058.83 × 127,395.16
  4. Step 4: Simplify right side
    234,825.16x = 41,283,527,748.81
  5. Step 5: Solve for x
    x = 41,283,527,748.81/234,825.16
  6. Step 6: Final answer
    x = 175,805.39

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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.