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Finding the Fourth Proportional to 100,458.02, 138,631.20 and 55,133.97

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Solution

The fourth proportional to 100,458.02, 138,631.20 and 55,133.97 is: 76,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,458.02 : 138,631.20 = 55,133.97 : x
  2. Step 2: Convert to fraction form
    100,458.02/138,631.20 = 55,133.97/x
  3. Step 3: Cross multiply
    100,458.02x = 138,631.20 × 55,133.97
  4. Step 4: Simplify right side
    100,458.02x = 7,643,287,695.24
  5. Step 5: Solve for x
    x = 7,643,287,695.24/100,458.02
  6. Step 6: Final answer
    x = 76,084.39

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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.