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Finding the Fourth Proportional to 100,832.42, 139,208.64 and 89,622.38

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Solution

The fourth proportional to 100,832.42, 139,208.64 and 89,622.38 is: 123,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,832.42 : 139,208.64 = 89,622.38 : x
  2. Step 2: Convert to fraction form
    100,832.42/139,208.64 = 89,622.38/x
  3. Step 3: Cross multiply
    100,832.42x = 139,208.64 × 89,622.38
  4. Step 4: Simplify right side
    100,832.42x = 12,476,209,633.36
  5. Step 5: Solve for x
    x = 12,476,209,633.36/100,832.42
  6. Step 6: Final answer
    x = 123,732.13

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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.