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Finding the Fourth Proportional to 119,404.14, 164,780.19 and 65,689.26

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Solution

The fourth proportional to 119,404.14, 164,780.19 and 65,689.26 is: 90,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,404.14 : 164,780.19 = 65,689.26 : x
  2. Step 2: Convert to fraction form
    119,404.14/164,780.19 = 65,689.26/x
  3. Step 3: Cross multiply
    119,404.14x = 164,780.19 × 65,689.26
  4. Step 4: Simplify right side
    119,404.14x = 10,824,288,743.76
  5. Step 5: Solve for x
    x = 10,824,288,743.76/119,404.14
  6. Step 6: Final answer
    x = 90,652.54

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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.