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Finding the Fourth Proportional to 255,409.08, 383,099.34 and 77,902.14

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Solution

The fourth proportional to 255,409.08, 383,099.34 and 77,902.14 is: 116,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,409.08 : 383,099.34 = 77,902.14 : x
  2. Step 2: Convert to fraction form
    255,409.08/383,099.34 = 77,902.14/x
  3. Step 3: Cross multiply
    255,409.08x = 383,099.34 × 77,902.14
  4. Step 4: Simplify right side
    255,409.08x = 29,844,258,418.59
  5. Step 5: Solve for x
    x = 29,844,258,418.59/255,409.08
  6. Step 6: Final answer
    x = 116,848.85

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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.