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Finding the Fourth Proportional to 106,797.94, 160,196.92 and 40,253

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Solution

The fourth proportional to 106,797.94, 160,196.92 and 40,253 is: 60,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,797.94 : 160,196.92 = 40,253 : x
  2. Step 2: Convert to fraction form
    106,797.94/160,196.92 = 40,253/x
  3. Step 3: Cross multiply
    106,797.94x = 160,196.92 × 40,253
  4. Step 4: Simplify right side
    106,797.94x = 6,448,406,620.76
  5. Step 5: Solve for x
    x = 6,448,406,620.76/106,797.94
  6. Step 6: Final answer
    x = 60,379.50

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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.