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Finding the Fourth Proportional to 210,402.45, 290,355.71 and 119,758.42

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Solution

The fourth proportional to 210,402.45, 290,355.71 and 119,758.42 is: 165,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,402.45 : 290,355.71 = 119,758.42 : x
  2. Step 2: Convert to fraction form
    210,402.45/290,355.71 = 119,758.42/x
  3. Step 3: Cross multiply
    210,402.45x = 290,355.71 × 119,758.42
  4. Step 4: Simplify right side
    210,402.45x = 34,772,541,067.58
  5. Step 5: Solve for x
    x = 34,772,541,067.58/210,402.45
  6. Step 6: Final answer
    x = 165,266.81

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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.