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Finding the Fourth Proportional to 77,198, 106,536.12 and 43,663.28

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Solution

The fourth proportional to 77,198, 106,536.12 and 43,663.28 is: 60,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,198 : 106,536.12 = 43,663.28 : x
  2. Step 2: Convert to fraction form
    77,198/106,536.12 = 43,663.28/x
  3. Step 3: Cross multiply
    77,198x = 106,536.12 × 43,663.28
  4. Step 4: Simplify right side
    77,198x = 4,651,716,437.67
  5. Step 5: Solve for x
    x = 4,651,716,437.67/77,198
  6. Step 6: Final answer
    x = 60,256.96

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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.