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Finding the Fourth Proportional to 119,542.07, 164,969.12 and 65,827.29

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Solution

The fourth proportional to 119,542.07, 164,969.12 and 65,827.29 is: 90,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,542.07 : 164,969.12 = 65,827.29 : x
  2. Step 2: Convert to fraction form
    119,542.07/164,969.12 = 65,827.29/x
  3. Step 3: Cross multiply
    119,542.07x = 164,969.12 × 65,827.29
  4. Step 4: Simplify right side
    119,542.07x = 10,859,470,103.28
  5. Step 5: Solve for x
    x = 10,859,470,103.28/119,542.07
  6. Step 6: Final answer
    x = 90,842.25

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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.