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Finding the Fourth Proportional to 543,093.49, 814,695.68 and 188,106.85

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Solution

The fourth proportional to 543,093.49, 814,695.68 and 188,106.85 is: 282,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,093.49 : 814,695.68 = 188,106.85 : x
  2. Step 2: Convert to fraction form
    543,093.49/814,695.68 = 188,106.85/x
  3. Step 3: Cross multiply
    543,093.49x = 814,695.68 × 188,106.85
  4. Step 4: Simplify right side
    543,093.49x = 153,249,838,073.41
  5. Step 5: Solve for x
    x = 153,249,838,073.41/543,093.49
  6. Step 6: Final answer
    x = 282,179.48

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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.