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Finding the Fourth Proportional to 120,268.47, 165,968 and 66,553.45

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Solution

The fourth proportional to 120,268.47, 165,968 and 66,553.45 is: 91,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,268.47 : 165,968 = 66,553.45 : x
  2. Step 2: Convert to fraction form
    120,268.47/165,968 = 66,553.45/x
  3. Step 3: Cross multiply
    120,268.47x = 165,968 × 66,553.45
  4. Step 4: Simplify right side
    120,268.47x = 11,045,742,989.60
  5. Step 5: Solve for x
    x = 11,045,742,989.60/120,268.47
  6. Step 6: Final answer
    x = 91,842.38

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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.