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Finding the Fourth Proportional to 255,635.64, 383,454.54 and 78,141.96

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Solution

The fourth proportional to 255,635.64, 383,454.54 and 78,141.96 is: 117,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,635.64 : 383,454.54 = 78,141.96 : x
  2. Step 2: Convert to fraction form
    255,635.64/383,454.54 = 78,141.96/x
  3. Step 3: Cross multiply
    255,635.64x = 383,454.54 × 78,141.96
  4. Step 4: Simplify right side
    255,635.64x = 29,963,889,326.50
  5. Step 5: Solve for x
    x = 29,963,889,326.50/255,635.64
  6. Step 6: Final answer
    x = 117,213.27

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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.