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Finding the Fourth Proportional to 263,756.58, 363,983.59 and 142,900.87

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Solution

The fourth proportional to 263,756.58, 363,983.59 and 142,900.87 is: 197,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,756.58 : 363,983.59 = 142,900.87 : x
  2. Step 2: Convert to fraction form
    263,756.58/363,983.59 = 142,900.87/x
  3. Step 3: Cross multiply
    263,756.58x = 363,983.59 × 142,900.87
  4. Step 4: Simplify right side
    263,756.58x = 52,013,569,142.30
  5. Step 5: Solve for x
    x = 52,013,569,142.30/263,756.58
  6. Step 6: Final answer
    x = 197,202.93

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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.