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Finding the Fourth Proportional to 262,043.78, 361,579.92 and 147,301.16

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Solution

The fourth proportional to 262,043.78, 361,579.92 and 147,301.16 is: 203,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,043.78 : 361,579.92 = 147,301.16 : x
  2. Step 2: Convert to fraction form
    262,043.78/361,579.92 = 147,301.16/x
  3. Step 3: Cross multiply
    262,043.78x = 361,579.92 × 147,301.16
  4. Step 4: Simplify right side
    262,043.78x = 53,261,141,648.71
  5. Step 5: Solve for x
    x = 53,261,141,648.71/262,043.78
  6. Step 6: Final answer
    x = 203,252.84

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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.