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Finding the Fourth Proportional to 210,049.40, 289,856.62 and 119,392.76

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Solution

The fourth proportional to 210,049.40, 289,856.62 and 119,392.76 is: 164,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,049.40 : 289,856.62 = 119,392.76 : x
  2. Step 2: Convert to fraction form
    210,049.40/289,856.62 = 119,392.76/x
  3. Step 3: Cross multiply
    210,049.40x = 289,856.62 × 119,392.76
  4. Step 4: Simplify right side
    210,049.40x = 34,606,781,866.07
  5. Step 5: Solve for x
    x = 34,606,781,866.07/210,049.40
  6. Step 6: Final answer
    x = 164,755.44

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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.