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Finding the Fourth Proportional to 264,205.80, 364,595.94 and 188,880.36

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Solution

The fourth proportional to 264,205.80, 364,595.94 and 188,880.36 is: 260,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,205.80 : 364,595.94 = 188,880.36 : x
  2. Step 2: Convert to fraction form
    264,205.80/364,595.94 = 188,880.36/x
  3. Step 3: Cross multiply
    264,205.80x = 364,595.94 × 188,880.36
  4. Step 4: Simplify right side
    264,205.80x = 68,865,012,401.74
  5. Step 5: Solve for x
    x = 68,865,012,401.74/264,205.80
  6. Step 6: Final answer
    x = 260,649.13

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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.