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Finding the Fourth Proportional to 154,994.21, 232,274.78 and 83,763.28

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Solution

The fourth proportional to 154,994.21, 232,274.78 and 83,763.28 is: 125,527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,994.21 : 232,274.78 = 83,763.28 : x
  2. Step 2: Convert to fraction form
    154,994.21/232,274.78 = 83,763.28/x
  3. Step 3: Cross multiply
    154,994.21x = 232,274.78 × 83,763.28
  4. Step 4: Simplify right side
    154,994.21x = 19,456,096,434.58
  5. Step 5: Solve for x
    x = 19,456,096,434.58/154,994.21
  6. Step 6: Final answer
    x = 125,527.90

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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.