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Finding the Fourth Proportional to 263,782.76, 364,146.36 and 150,583.64

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Solution

The fourth proportional to 263,782.76, 364,146.36 and 150,583.64 is: 207,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,782.76 : 364,146.36 = 150,583.64 : x
  2. Step 2: Convert to fraction form
    263,782.76/364,146.36 = 150,583.64/x
  3. Step 3: Cross multiply
    263,782.76x = 364,146.36 × 150,583.64
  4. Step 4: Simplify right side
    263,782.76x = 54,834,484,381.55
  5. Step 5: Solve for x
    x = 54,834,484,381.55/263,782.76
  6. Step 6: Final answer
    x = 207,877.44

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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.