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Finding the Fourth Proportional to 265,433.96, 366,295.77 and 144,574.88

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Solution

The fourth proportional to 265,433.96, 366,295.77 and 144,574.88 is: 199,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,433.96 : 366,295.77 = 144,574.88 : x
  2. Step 2: Convert to fraction form
    265,433.96/366,295.77 = 144,574.88/x
  3. Step 3: Cross multiply
    265,433.96x = 366,295.77 × 144,574.88
  4. Step 4: Simplify right side
    265,433.96x = 52,957,165,160.78
  5. Step 5: Solve for x
    x = 52,957,165,160.78/265,433.96
  6. Step 6: Final answer
    x = 199,511.64

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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.