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Finding the Fourth Proportional to 239,618.82, 330,713.10 and 144,178.14

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Solution

The fourth proportional to 239,618.82, 330,713.10 and 144,178.14 is: 198,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,618.82 : 330,713.10 = 144,178.14 : x
  2. Step 2: Convert to fraction form
    239,618.82/330,713.10 = 144,178.14/x
  3. Step 3: Cross multiply
    239,618.82x = 330,713.10 × 144,178.14
  4. Step 4: Simplify right side
    239,618.82x = 47,681,599,631.63
  5. Step 5: Solve for x
    x = 47,681,599,631.63/239,618.82
  6. Step 6: Final answer
    x = 198,989.38

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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.