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Finding the Fourth Proportional to 265,197.26, 365,981.22 and 144,342.93

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Solution

The fourth proportional to 265,197.26, 365,981.22 and 144,342.93 is: 199,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,197.26 : 365,981.22 = 144,342.93 : x
  2. Step 2: Convert to fraction form
    265,197.26/365,981.22 = 144,342.93/x
  3. Step 3: Cross multiply
    265,197.26x = 365,981.22 × 144,342.93
  4. Step 4: Simplify right side
    265,197.26x = 52,826,801,619.77
  5. Step 5: Solve for x
    x = 52,826,801,619.77/265,197.26
  6. Step 6: Final answer
    x = 199,198.14

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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.