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Finding the Fourth Proportional to 256,043.01, 383,941.82 and 120,994.68

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Solution

The fourth proportional to 256,043.01, 383,941.82 and 120,994.68 is: 181,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,043.01 : 383,941.82 = 120,994.68 : x
  2. Step 2: Convert to fraction form
    256,043.01/383,941.82 = 120,994.68/x
  3. Step 3: Cross multiply
    256,043.01x = 383,941.82 × 120,994.68
  4. Step 4: Simplify right side
    256,043.01x = 46,454,917,649.52
  5. Step 5: Solve for x
    x = 46,454,917,649.52/256,043.01
  6. Step 6: Final answer
    x = 181,434.04

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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.