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Finding the Fourth Proportional to 119,424.98, 164,738.02 and 74,635.22

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Solution

The fourth proportional to 119,424.98, 164,738.02 and 74,635.22 is: 102,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,424.98 : 164,738.02 = 74,635.22 : x
  2. Step 2: Convert to fraction form
    119,424.98/164,738.02 = 74,635.22/x
  3. Step 3: Cross multiply
    119,424.98x = 164,738.02 × 74,635.22
  4. Step 4: Simplify right side
    119,424.98x = 12,295,258,365.06
  5. Step 5: Solve for x
    x = 12,295,258,365.06/119,424.98
  6. Step 6: Final answer
    x = 102,953.82

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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.