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Finding the Fourth Proportional to 255,909.60, 383,893.20 and 78,415.20

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Solution

The fourth proportional to 255,909.60, 383,893.20 and 78,415.20 is: 117,631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,909.60 : 383,893.20 = 78,415.20 : x
  2. Step 2: Convert to fraction form
    255,909.60/383,893.20 = 78,415.20/x
  3. Step 3: Cross multiply
    255,909.60x = 383,893.20 × 78,415.20
  4. Step 4: Simplify right side
    255,909.60x = 30,103,062,056.64
  5. Step 5: Solve for x
    x = 30,103,062,056.64/255,909.60
  6. Step 6: Final answer
    x = 117,631.62

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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.