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Finding the Fourth Proportional to 210,044.68, 289,811.82 and 119,393.51

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Solution

The fourth proportional to 210,044.68, 289,811.82 and 119,393.51 is: 164,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,044.68 : 289,811.82 = 119,393.51 : x
  2. Step 2: Convert to fraction form
    210,044.68/289,811.82 = 119,393.51/x
  3. Step 3: Cross multiply
    210,044.68x = 289,811.82 × 119,393.51
  4. Step 4: Simplify right side
    210,044.68x = 34,601,649,427.95
  5. Step 5: Solve for x
    x = 34,601,649,427.95/210,044.68
  6. Step 6: Final answer
    x = 164,734.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.