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Finding the Fourth Proportional to 239,763.46, 330,884.37 and 137,822.02

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Solution

The fourth proportional to 239,763.46, 330,884.37 and 137,822.02 is: 190,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,763.46 : 330,884.37 = 137,822.02 : x
  2. Step 2: Convert to fraction form
    239,763.46/330,884.37 = 137,822.02/x
  3. Step 3: Cross multiply
    239,763.46x = 330,884.37 × 137,822.02
  4. Step 4: Simplify right side
    239,763.46x = 45,603,152,259.83
  5. Step 5: Solve for x
    x = 45,603,152,259.83/239,763.46
  6. Step 6: Final answer
    x = 190,200.59

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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.