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Finding the Fourth Proportional to 210,815.66, 290,941.41 and 120,173.78

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Solution

The fourth proportional to 210,815.66, 290,941.41 and 120,173.78 is: 165,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,815.66 : 290,941.41 = 120,173.78 : x
  2. Step 2: Convert to fraction form
    210,815.66/290,941.41 = 120,173.78/x
  3. Step 3: Cross multiply
    210,815.66x = 290,941.41 × 120,173.78
  4. Step 4: Simplify right side
    210,815.66x = 34,963,530,176.24
  5. Step 5: Solve for x
    x = 34,963,530,176.24/210,815.66
  6. Step 6: Final answer
    x = 165,848.83

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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.