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Finding the Fourth Proportional to 119,138.28, 164,404.38 and 65,430.36

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Solution

The fourth proportional to 119,138.28, 164,404.38 and 65,430.36 is: 90,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,138.28 : 164,404.38 = 65,430.36 : x
  2. Step 2: Convert to fraction form
    119,138.28/164,404.38 = 65,430.36/x
  3. Step 3: Cross multiply
    119,138.28x = 164,404.38 × 65,430.36
  4. Step 4: Simplify right side
    119,138.28x = 10,757,037,768.98
  5. Step 5: Solve for x
    x = 10,757,037,768.98/119,138.28
  6. Step 6: Final answer
    x = 90,290.36

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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.