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Finding the Fourth Proportional to 119,096.68, 164,379.30 and 81,460.84

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Solution

The fourth proportional to 119,096.68, 164,379.30 and 81,460.84 is: 112,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,096.68 : 164,379.30 = 81,460.84 : x
  2. Step 2: Convert to fraction form
    119,096.68/164,379.30 = 81,460.84/x
  3. Step 3: Cross multiply
    119,096.68x = 164,379.30 × 81,460.84
  4. Step 4: Simplify right side
    119,096.68x = 13,390,475,856.61
  5. Step 5: Solve for x
    x = 13,390,475,856.61/119,096.68
  6. Step 6: Final answer
    x = 112,433.66

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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.