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Finding the Fourth Proportional to 255,624.58, 383,422.80 and 78,131.50

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Solution

The fourth proportional to 255,624.58, 383,422.80 and 78,131.50 is: 117,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,624.58 : 383,422.80 = 78,131.50 : x
  2. Step 2: Convert to fraction form
    255,624.58/383,422.80 = 78,131.50/x
  3. Step 3: Cross multiply
    255,624.58x = 383,422.80 × 78,131.50
  4. Step 4: Simplify right side
    255,624.58x = 29,957,398,498.20
  5. Step 5: Solve for x
    x = 29,957,398,498.20/255,624.58
  6. Step 6: Final answer
    x = 117,192.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.