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Finding the Fourth Proportional to 114,500.92, 158,014.38 and 64,198.84

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Solution

The fourth proportional to 114,500.92, 158,014.38 and 64,198.84 is: 88,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,500.92 : 158,014.38 = 64,198.84 : x
  2. Step 2: Convert to fraction form
    114,500.92/158,014.38 = 64,198.84/x
  3. Step 3: Cross multiply
    114,500.92x = 158,014.38 × 64,198.84
  4. Step 4: Simplify right side
    114,500.92x = 10,144,339,899.32
  5. Step 5: Solve for x
    x = 10,144,339,899.32/114,500.92
  6. Step 6: Final answer
    x = 88,596.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.