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Finding the Fourth Proportional to 210,133.63, 289,983 and 119,489.59

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Solution

The fourth proportional to 210,133.63, 289,983 and 119,489.59 is: 164,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,133.63 : 289,983 = 119,489.59 : x
  2. Step 2: Convert to fraction form
    210,133.63/289,983 = 119,489.59/x
  3. Step 3: Cross multiply
    210,133.63x = 289,983 × 119,489.59
  4. Step 4: Simplify right side
    210,133.63x = 34,649,949,776.97
  5. Step 5: Solve for x
    x = 34,649,949,776.97/210,133.63
  6. Step 6: Final answer
    x = 164,894.83

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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.