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Finding the Fourth Proportional to 119,125.38, 164,394.46 and 65,409.32

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Solution

The fourth proportional to 119,125.38, 164,394.46 and 65,409.32 is: 90,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,125.38 : 164,394.46 = 65,409.32 : x
  2. Step 2: Convert to fraction form
    119,125.38/164,394.46 = 65,409.32/x
  3. Step 3: Cross multiply
    119,125.38x = 164,394.46 × 65,409.32
  4. Step 4: Simplify right side
    119,125.38x = 10,752,930,333.12
  5. Step 5: Solve for x
    x = 10,752,930,333.12/119,125.38
  6. Step 6: Final answer
    x = 90,265.65

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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.