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Finding the Fourth Proportional to 540,175.44, 810,263.52 and 140,815.20

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Solution

The fourth proportional to 540,175.44, 810,263.52 and 140,815.20 is: 211,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,175.44 : 810,263.52 = 140,815.20 : x
  2. Step 2: Convert to fraction form
    540,175.44/810,263.52 = 140,815.20/x
  3. Step 3: Cross multiply
    540,175.44x = 810,263.52 × 140,815.20
  4. Step 4: Simplify right side
    540,175.44x = 114,097,419,621.50
  5. Step 5: Solve for x
    x = 114,097,419,621.50/540,175.44
  6. Step 6: Final answer
    x = 211,222.89

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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.