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Finding the Fourth Proportional to 361,861.34, 542,792 and 148,592.96

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Solution

The fourth proportional to 361,861.34, 542,792 and 148,592.96 is: 222,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,861.34 : 542,792 = 148,592.96 : x
  2. Step 2: Convert to fraction form
    361,861.34/542,792 = 148,592.96/x
  3. Step 3: Cross multiply
    361,861.34x = 542,792 × 148,592.96
  4. Step 4: Simplify right side
    361,861.34x = 80,655,069,944.32
  5. Step 5: Solve for x
    x = 80,655,069,944.32/361,861.34
  6. Step 6: Final answer
    x = 222,889.44

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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.