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Finding the Fourth Proportional to 255,935.58, 383,977.16 and 78,468.78

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Solution

The fourth proportional to 255,935.58, 383,977.16 and 78,468.78 is: 117,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,935.58 : 383,977.16 = 78,468.78 : x
  2. Step 2: Convert to fraction form
    255,935.58/383,977.16 = 78,468.78/x
  3. Step 3: Cross multiply
    255,935.58x = 383,977.16 × 78,468.78
  4. Step 4: Simplify right side
    255,935.58x = 30,130,219,293.06
  5. Step 5: Solve for x
    x = 30,130,219,293.06/255,935.58
  6. Step 6: Final answer
    x = 117,725.79

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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.