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Finding the Fourth Proportional to 265,197.48, 365,981.52 and 144,343.17

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Solution

The fourth proportional to 265,197.48, 365,981.52 and 144,343.17 is: 199,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,197.48 : 365,981.52 = 144,343.17 : x
  2. Step 2: Convert to fraction form
    265,197.48/365,981.52 = 144,343.17/x
  3. Step 3: Cross multiply
    265,197.48x = 365,981.52 × 144,343.17
  4. Step 4: Simplify right side
    265,197.48x = 52,826,932,758.22
  5. Step 5: Solve for x
    x = 52,826,932,758.22/265,197.48
  6. Step 6: Final answer
    x = 199,198.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.