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Finding the Fourth Proportional to 238,518.56, 329,163.54 and 140,384.01

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Solution

The fourth proportional to 238,518.56, 329,163.54 and 140,384.01 is: 193,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,518.56 : 329,163.54 = 140,384.01 : x
  2. Step 2: Convert to fraction form
    238,518.56/329,163.54 = 140,384.01/x
  3. Step 3: Cross multiply
    238,518.56x = 329,163.54 × 140,384.01
  4. Step 4: Simplify right side
    238,518.56x = 46,209,297,298.23
  5. Step 5: Solve for x
    x = 46,209,297,298.23/238,518.56
  6. Step 6: Final answer
    x = 193,734.60

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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.