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Finding the Fourth Proportional to 200,978.24, 301,024.49 and 112,011.08

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Solution

The fourth proportional to 200,978.24, 301,024.49 and 112,011.08 is: 167,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,978.24 : 301,024.49 = 112,011.08 : x
  2. Step 2: Convert to fraction form
    200,978.24/301,024.49 = 112,011.08/x
  3. Step 3: Cross multiply
    200,978.24x = 301,024.49 × 112,011.08
  4. Step 4: Simplify right side
    200,978.24x = 33,718,078,231.35
  5. Step 5: Solve for x
    x = 33,718,078,231.35/200,978.24
  6. Step 6: Final answer
    x = 167,769.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.