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Finding the Fourth Proportional to 102,511.20, 153,766.80 and 94,216.80

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Solution

The fourth proportional to 102,511.20, 153,766.80 and 94,216.80 is: 141,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,511.20 : 153,766.80 = 94,216.80 : x
  2. Step 2: Convert to fraction form
    102,511.20/153,766.80 = 94,216.80/x
  3. Step 3: Cross multiply
    102,511.20x = 153,766.80 × 94,216.80
  4. Step 4: Simplify right side
    102,511.20x = 14,487,415,842.24
  5. Step 5: Solve for x
    x = 14,487,415,842.24/102,511.20
  6. Step 6: Final answer
    x = 141,325.20

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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.