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Finding the Fourth Proportional to 119,474.92, 164,519.49 and 116,822.89

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Solution

The fourth proportional to 119,474.92, 164,519.49 and 116,822.89 is: 160,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,474.92 : 164,519.49 = 116,822.89 : x
  2. Step 2: Convert to fraction form
    119,474.92/164,519.49 = 116,822.89/x
  3. Step 3: Cross multiply
    119,474.92x = 164,519.49 × 116,822.89
  4. Step 4: Simplify right side
    119,474.92x = 19,219,642,283.13
  5. Step 5: Solve for x
    x = 19,219,642,283.13/119,474.92
  6. Step 6: Final answer
    x = 160,867.59

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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.