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Finding the Fourth Proportional to 119,741.16, 165,239.26 and 66,026.17

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Solution

The fourth proportional to 119,741.16, 165,239.26 and 66,026.17 is: 91,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,741.16 : 165,239.26 = 66,026.17 : x
  2. Step 2: Convert to fraction form
    119,741.16/165,239.26 = 66,026.17/x
  3. Step 3: Cross multiply
    119,741.16x = 165,239.26 × 66,026.17
  4. Step 4: Simplify right side
    119,741.16x = 10,910,115,471.43
  5. Step 5: Solve for x
    x = 10,910,115,471.43/119,741.16
  6. Step 6: Final answer
    x = 91,114.16

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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.