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Finding the Fourth Proportional to 138,405.38, 190,999.43 and 74,743.17

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Solution

The fourth proportional to 138,405.38, 190,999.43 and 74,743.17 is: 103,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405.38 : 190,999.43 = 74,743.17 : x
  2. Step 2: Convert to fraction form
    138,405.38/190,999.43 = 74,743.17/x
  3. Step 3: Cross multiply
    138,405.38x = 190,999.43 × 74,743.17
  4. Step 4: Simplify right side
    138,405.38x = 14,275,902,970.18
  5. Step 5: Solve for x
    x = 14,275,902,970.18/138,405.38
  6. Step 6: Final answer
    x = 103,145.58

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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.