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Finding the Fourth Proportional to 210,008.74, 289,813.42 and 114,517.02

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Solution

The fourth proportional to 210,008.74, 289,813.42 and 114,517.02 is: 158,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,008.74 : 289,813.42 = 114,517.02 : x
  2. Step 2: Convert to fraction form
    210,008.74/289,813.42 = 114,517.02/x
  3. Step 3: Cross multiply
    210,008.74x = 289,813.42 × 114,517.02
  4. Step 4: Simplify right side
    210,008.74x = 33,188,569,214.41
  5. Step 5: Solve for x
    x = 33,188,569,214.41/210,008.74
  6. Step 6: Final answer
    x = 158,034.23

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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.