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Finding the Fourth Proportional to 255,405.78, 383,165.01 and 77,926.50

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Solution

The fourth proportional to 255,405.78, 383,165.01 and 77,926.50 is: 116,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,405.78 : 383,165.01 = 77,926.50 : x
  2. Step 2: Convert to fraction form
    255,405.78/383,165.01 = 77,926.50/x
  3. Step 3: Cross multiply
    255,405.78x = 383,165.01 × 77,926.50
  4. Step 4: Simplify right side
    255,405.78x = 29,858,708,151.77
  5. Step 5: Solve for x
    x = 29,858,708,151.77/255,405.78
  6. Step 6: Final answer
    x = 116,906.94

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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.