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Finding the Fourth Proportional to 199,443.48, 299,077.50 and 74,697

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Solution

The fourth proportional to 199,443.48, 299,077.50 and 74,697 is: 112,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,443.48 : 299,077.50 = 74,697 : x
  2. Step 2: Convert to fraction form
    199,443.48/299,077.50 = 74,697/x
  3. Step 3: Cross multiply
    199,443.48x = 299,077.50 × 74,697
  4. Step 4: Simplify right side
    199,443.48x = 22,340,192,017.50
  5. Step 5: Solve for x
    x = 22,340,192,017.50/199,443.48
  6. Step 6: Final answer
    x = 112,012.65

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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.