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Finding the Fourth Proportional to 210,138.06, 290,014.71 and 117,013.17

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Solution

The fourth proportional to 210,138.06, 290,014.71 and 117,013.17 is: 161,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,138.06 : 290,014.71 = 117,013.17 : x
  2. Step 2: Convert to fraction form
    210,138.06/290,014.71 = 117,013.17/x
  3. Step 3: Cross multiply
    210,138.06x = 290,014.71 × 117,013.17
  4. Step 4: Simplify right side
    210,138.06x = 33,935,540,563.73
  5. Step 5: Solve for x
    x = 33,935,540,563.73/210,138.06
  6. Step 6: Final answer
    x = 161,491.64

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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.