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Finding the Fourth Proportional to 210,582.08, 290,622 and 119,918.24

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Solution

The fourth proportional to 210,582.08, 290,622 and 119,918.24 is: 165,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,582.08 : 290,622 = 119,918.24 : x
  2. Step 2: Convert to fraction form
    210,582.08/290,622 = 119,918.24/x
  3. Step 3: Cross multiply
    210,582.08x = 290,622 × 119,918.24
  4. Step 4: Simplify right side
    210,582.08x = 34,850,878,745.28
  5. Step 5: Solve for x
    x = 34,850,878,745.28/210,582.08
  6. Step 6: Final answer
    x = 165,497.84

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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.