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Finding the Fourth Proportional to 98,093.88, 147,118.91 and 45,496.53

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Solution

The fourth proportional to 98,093.88, 147,118.91 and 45,496.53 is: 68,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,093.88 : 147,118.91 = 45,496.53 : x
  2. Step 2: Convert to fraction form
    98,093.88/147,118.91 = 45,496.53/x
  3. Step 3: Cross multiply
    98,093.88x = 147,118.91 × 45,496.53
  4. Step 4: Simplify right side
    98,093.88x = 6,693,399,674.90
  5. Step 5: Solve for x
    x = 6,693,399,674.90/98,093.88
  6. Step 6: Final answer
    x = 68,234.63

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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.