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Finding the Fourth Proportional to 178,100.99, 267,249.86 and 99,259.64

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Solution

The fourth proportional to 178,100.99, 267,249.86 and 99,259.64 is: 148,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,100.99 : 267,249.86 = 99,259.64 : x
  2. Step 2: Convert to fraction form
    178,100.99/267,249.86 = 99,259.64/x
  3. Step 3: Cross multiply
    178,100.99x = 267,249.86 × 99,259.64
  4. Step 4: Simplify right side
    178,100.99x = 26,527,124,893.65
  5. Step 5: Solve for x
    x = 26,527,124,893.65/178,100.99
  6. Step 6: Final answer
    x = 148,944.29

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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.