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Finding the Fourth Proportional to 543,156.97, 814,462.08 and 188,075.65

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Solution

The fourth proportional to 543,156.97, 814,462.08 and 188,075.65 is: 282,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,156.97 : 814,462.08 = 188,075.65 : x
  2. Step 2: Convert to fraction form
    543,156.97/814,462.08 = 188,075.65/x
  3. Step 3: Cross multiply
    543,156.97x = 814,462.08 × 188,075.65
  4. Step 4: Simplify right side
    543,156.97x = 153,180,485,096.35
  5. Step 5: Solve for x
    x = 153,180,485,096.35/543,156.97
  6. Step 6: Final answer
    x = 282,018.82

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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.