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Finding the Fourth Proportional to 360,198.90, 539,855.48 and 202,095.20

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Solution

The fourth proportional to 360,198.90, 539,855.48 and 202,095.20 is: 302,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,198.90 : 539,855.48 = 202,095.20 : x
  2. Step 2: Convert to fraction form
    360,198.90/539,855.48 = 202,095.20/x
  3. Step 3: Cross multiply
    360,198.90x = 539,855.48 × 202,095.20
  4. Step 4: Simplify right side
    360,198.90x = 109,102,203,056.57
  5. Step 5: Solve for x
    x = 109,102,203,056.57/360,198.90
  6. Step 6: Final answer
    x = 302,894.33

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Why These Related Problems?

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