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Finding the Fourth Proportional to 255,714.64, 383,488.97 and 120,757.84

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Solution

The fourth proportional to 255,714.64, 383,488.97 and 120,757.84 is: 181,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,714.64 : 383,488.97 = 120,757.84 : x
  2. Step 2: Convert to fraction form
    255,714.64/383,488.97 = 120,757.84/x
  3. Step 3: Cross multiply
    255,714.64x = 383,488.97 × 120,757.84
  4. Step 4: Simplify right side
    255,714.64x = 46,309,298,118.51
  5. Step 5: Solve for x
    x = 46,309,298,118.51/255,714.64
  6. Step 6: Final answer
    x = 181,097.56

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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.