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Finding the Fourth Proportional to 361,154.16, 541,638.90 and 148,072.32

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Solution

The fourth proportional to 361,154.16, 541,638.90 and 148,072.32 is: 222,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,154.16 : 541,638.90 = 148,072.32 : x
  2. Step 2: Convert to fraction form
    361,154.16/541,638.90 = 148,072.32/x
  3. Step 3: Cross multiply
    361,154.16x = 541,638.90 × 148,072.32
  4. Step 4: Simplify right side
    361,154.16x = 80,201,728,525.25
  5. Step 5: Solve for x
    x = 80,201,728,525.25/361,154.16
  6. Step 6: Final answer
    x = 222,070.62

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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.