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Finding the Fourth Proportional to 146,536.40, 202,218.36 and 79,468.40

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Solution

The fourth proportional to 146,536.40, 202,218.36 and 79,468.40 is: 109,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,536.40 : 202,218.36 = 79,468.40 : x
  2. Step 2: Convert to fraction form
    146,536.40/202,218.36 = 79,468.40/x
  3. Step 3: Cross multiply
    146,536.40x = 202,218.36 × 79,468.40
  4. Step 4: Simplify right side
    146,536.40x = 16,069,969,519.82
  5. Step 5: Solve for x
    x = 16,069,969,519.82/146,536.40
  6. Step 6: Final answer
    x = 109,665.38

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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.