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Finding the Fourth Proportional to 262,182.64, 361,812.12 and 149,002.48

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Solution

The fourth proportional to 262,182.64, 361,812.12 and 149,002.48 is: 205,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,182.64 : 361,812.12 = 149,002.48 : x
  2. Step 2: Convert to fraction form
    262,182.64/361,812.12 = 149,002.48/x
  3. Step 3: Cross multiply
    262,182.64x = 361,812.12 × 149,002.48
  4. Step 4: Simplify right side
    262,182.64x = 53,910,903,174.06
  5. Step 5: Solve for x
    x = 53,910,903,174.06/262,182.64
  6. Step 6: Final answer
    x = 205,623.47

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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.