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Finding the Fourth Proportional to 162,231.40, 243,347.10 and 148,234.60

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Solution

The fourth proportional to 162,231.40, 243,347.10 and 148,234.60 is: 222,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,231.40 : 243,347.10 = 148,234.60 : x
  2. Step 2: Convert to fraction form
    162,231.40/243,347.10 = 148,234.60/x
  3. Step 3: Cross multiply
    162,231.40x = 243,347.10 × 148,234.60
  4. Step 4: Simplify right side
    162,231.40x = 36,072,460,029.66
  5. Step 5: Solve for x
    x = 36,072,460,029.66/162,231.40
  6. Step 6: Final answer
    x = 222,351.90

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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.