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Finding the Fourth Proportional to 153,954.54, 230,964.21 and 57,892.32

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Solution

The fourth proportional to 153,954.54, 230,964.21 and 57,892.32 is: 86,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,954.54 : 230,964.21 = 57,892.32 : x
  2. Step 2: Convert to fraction form
    153,954.54/230,964.21 = 57,892.32/x
  3. Step 3: Cross multiply
    153,954.54x = 230,964.21 × 57,892.32
  4. Step 4: Simplify right side
    153,954.54x = 13,371,053,953.87
  5. Step 5: Solve for x
    x = 13,371,053,953.87/153,954.54
  6. Step 6: Final answer
    x = 86,850.66

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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.