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Finding the Fourth Proportional to 119,905.07, 165,469.28 and 65,457.27

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Solution

The fourth proportional to 119,905.07, 165,469.28 and 65,457.27 is: 90,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,905.07 : 165,469.28 = 65,457.27 : x
  2. Step 2: Convert to fraction form
    119,905.07/165,469.28 = 65,457.27/x
  3. Step 3: Cross multiply
    119,905.07x = 165,469.28 × 65,457.27
  4. Step 4: Simplify right side
    119,905.07x = 10,831,167,010.38
  5. Step 5: Solve for x
    x = 10,831,167,010.38/119,905.07
  6. Step 6: Final answer
    x = 90,331.19

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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.