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Finding the Fourth Proportional to 210,493.58, 290,441.57 and 119,844.05

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Solution

The fourth proportional to 210,493.58, 290,441.57 and 119,844.05 is: 165,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,493.58 : 290,441.57 = 119,844.05 : x
  2. Step 2: Convert to fraction form
    210,493.58/290,441.57 = 119,844.05/x
  3. Step 3: Cross multiply
    210,493.58x = 290,441.57 × 119,844.05
  4. Step 4: Simplify right side
    210,493.58x = 34,807,691,985.73
  5. Step 5: Solve for x
    x = 34,807,691,985.73/210,493.58
  6. Step 6: Final answer
    x = 165,362.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.