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Finding the Fourth Proportional to 255,934.60, 383,930.70 and 78,440.20

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Solution

The fourth proportional to 255,934.60, 383,930.70 and 78,440.20 is: 117,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,934.60 : 383,930.70 = 78,440.20 : x
  2. Step 2: Convert to fraction form
    255,934.60/383,930.70 = 78,440.20/x
  3. Step 3: Cross multiply
    255,934.60x = 383,930.70 × 78,440.20
  4. Step 4: Simplify right side
    255,934.60x = 30,115,600,894.14
  5. Step 5: Solve for x
    x = 30,115,600,894.14/255,934.60
  6. Step 6: Final answer
    x = 117,669.13

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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.