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Finding the Fourth Proportional to 210,034.22, 289,835.82 and 119,377.59

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Solution

The fourth proportional to 210,034.22, 289,835.82 and 119,377.59 is: 164,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,034.22 : 289,835.82 = 119,377.59 : x
  2. Step 2: Convert to fraction form
    210,034.22/289,835.82 = 119,377.59/x
  3. Step 3: Cross multiply
    210,034.22x = 289,835.82 × 119,377.59
  4. Step 4: Simplify right side
    210,034.22x = 34,599,901,687.27
  5. Step 5: Solve for x
    x = 34,599,901,687.27/210,034.22
  6. Step 6: Final answer
    x = 164,734.60

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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.