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Finding the Fourth Proportional to 210,406.87, 290,363.34 and 119,768.68

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Solution

The fourth proportional to 210,406.87, 290,363.34 and 119,768.68 is: 165,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,406.87 : 290,363.34 = 119,768.68 : x
  2. Step 2: Convert to fraction form
    210,406.87/290,363.34 = 119,768.68/x
  3. Step 3: Cross multiply
    210,406.87x = 290,363.34 × 119,768.68
  4. Step 4: Simplify right side
    210,406.87x = 34,776,433,952.19
  5. Step 5: Solve for x
    x = 34,776,433,952.19/210,406.87
  6. Step 6: Final answer
    x = 165,281.84

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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.