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Finding the Fourth Proportional to 100,466.62, 138,643.45 and 55,145.37

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Solution

The fourth proportional to 100,466.62, 138,643.45 and 55,145.37 is: 76,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,466.62 : 138,643.45 = 55,145.37 : x
  2. Step 2: Convert to fraction form
    100,466.62/138,643.45 = 55,145.37/x
  3. Step 3: Cross multiply
    100,466.62x = 138,643.45 × 55,145.37
  4. Step 4: Simplify right side
    100,466.62x = 7,645,544,730.38
  5. Step 5: Solve for x
    x = 7,645,544,730.38/100,466.62
  6. Step 6: Final answer
    x = 76,100.35

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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.