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Finding the Fourth Proportional to 210,870.30, 290,993.78 and 120,255.46

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Solution

The fourth proportional to 210,870.30, 290,993.78 and 120,255.46 is: 165,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,870.30 : 290,993.78 = 120,255.46 : x
  2. Step 2: Convert to fraction form
    210,870.30/290,993.78 = 120,255.46/x
  3. Step 3: Cross multiply
    210,870.30x = 290,993.78 × 120,255.46
  4. Step 4: Simplify right side
    210,870.30x = 34,993,590,871.04
  5. Step 5: Solve for x
    x = 34,993,590,871.04/210,870.30
  6. Step 6: Final answer
    x = 165,948.41

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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.