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Finding the Fourth Proportional to 267,098.99, 368,596.64 and 146,247.77

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Solution

The fourth proportional to 267,098.99, 368,596.64 and 146,247.77 is: 201,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,098.99 : 368,596.64 = 146,247.77 : x
  2. Step 2: Convert to fraction form
    267,098.99/368,596.64 = 146,247.77/x
  3. Step 3: Cross multiply
    267,098.99x = 368,596.64 × 146,247.77
  4. Step 4: Simplify right side
    267,098.99x = 53,906,434,707.93
  5. Step 5: Solve for x
    x = 53,906,434,707.93/267,098.99
  6. Step 6: Final answer
    x = 201,821.93

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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.