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Finding the Fourth Proportional to 540,097.80, 810,166.14 and 203,107.56

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Solution

The fourth proportional to 540,097.80, 810,166.14 and 203,107.56 is: 304,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,097.80 : 810,166.14 = 203,107.56 : x
  2. Step 2: Convert to fraction form
    540,097.80/810,166.14 = 203,107.56/x
  3. Step 3: Cross multiply
    540,097.80x = 810,166.14 × 203,107.56
  4. Step 4: Simplify right side
    540,097.80x = 164,550,867,890.02
  5. Step 5: Solve for x
    x = 164,550,867,890.02/540,097.80
  6. Step 6: Final answer
    x = 304,668.65

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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.