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Finding the Fourth Proportional to 207,492.56, 311,249.88 and 65,348.95

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Solution

The fourth proportional to 207,492.56, 311,249.88 and 65,348.95 is: 98,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,492.56 : 311,249.88 = 65,348.95 : x
  2. Step 2: Convert to fraction form
    207,492.56/311,249.88 = 65,348.95/x
  3. Step 3: Cross multiply
    207,492.56x = 311,249.88 × 65,348.95
  4. Step 4: Simplify right side
    207,492.56x = 20,339,852,518.88
  5. Step 5: Solve for x
    x = 20,339,852,518.88/207,492.56
  6. Step 6: Final answer
    x = 98,026.90

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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.