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Finding the Fourth Proportional to 210,844.98, 290,972.97 and 115,349.46

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Solution

The fourth proportional to 210,844.98, 290,972.97 and 115,349.46 is: 159,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,844.98 : 290,972.97 = 115,349.46 : x
  2. Step 2: Convert to fraction form
    210,844.98/290,972.97 = 115,349.46/x
  3. Step 3: Cross multiply
    210,844.98x = 290,972.97 × 115,349.46
  4. Step 4: Simplify right side
    210,844.98x = 33,563,574,964.10
  5. Step 5: Solve for x
    x = 33,563,574,964.10/210,844.98
  6. Step 6: Final answer
    x = 159,186.03

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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.