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Finding the Fourth Proportional to 267,953.86, 369,753.01 and 147,094.98

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Solution

The fourth proportional to 267,953.86, 369,753.01 and 147,094.98 is: 202,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,953.86 : 369,753.01 = 147,094.98 : x
  2. Step 2: Convert to fraction form
    267,953.86/369,753.01 = 147,094.98/x
  3. Step 3: Cross multiply
    267,953.86x = 369,753.01 × 147,094.98
  4. Step 4: Simplify right side
    267,953.86x = 54,388,811,610.89
  5. Step 5: Solve for x
    x = 54,388,811,610.89/267,953.86
  6. Step 6: Final answer
    x = 202,978.27

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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.