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Finding the Fourth Proportional to 204,539.99, 306,752.54 and 78,093.11

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Solution

The fourth proportional to 204,539.99, 306,752.54 and 78,093.11 is: 117,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,539.99 : 306,752.54 = 78,093.11 : x
  2. Step 2: Convert to fraction form
    204,539.99/306,752.54 = 78,093.11/x
  3. Step 3: Cross multiply
    204,539.99x = 306,752.54 × 78,093.11
  4. Step 4: Simplify right side
    204,539.99x = 23,955,260,225.42
  5. Step 5: Solve for x
    x = 23,955,260,225.42/204,539.99
  6. Step 6: Final answer
    x = 117,117.74

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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.