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Finding the Fourth Proportional to 119,058.56, 164,288.84 and 71,310.68

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Solution

The fourth proportional to 119,058.56, 164,288.84 and 71,310.68 is: 98,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,058.56 : 164,288.84 = 71,310.68 : x
  2. Step 2: Convert to fraction form
    119,058.56/164,288.84 = 71,310.68/x
  3. Step 3: Cross multiply
    119,058.56x = 164,288.84 × 71,310.68
  4. Step 4: Simplify right side
    119,058.56x = 11,715,548,075.37
  5. Step 5: Solve for x
    x = 11,715,548,075.37/119,058.56
  6. Step 6: Final answer
    x = 98,401.56

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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.