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Finding the Fourth Proportional to 234,743.94, 352,119.56 and 57,254.31

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Solution

The fourth proportional to 234,743.94, 352,119.56 and 57,254.31 is: 85,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,743.94 : 352,119.56 = 57,254.31 : x
  2. Step 2: Convert to fraction form
    234,743.94/352,119.56 = 57,254.31/x
  3. Step 3: Cross multiply
    234,743.94x = 352,119.56 × 57,254.31
  4. Step 4: Simplify right side
    234,743.94x = 20,160,362,159.03
  5. Step 5: Solve for x
    x = 20,160,362,159.03/234,743.94
  6. Step 6: Final answer
    x = 85,882.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.