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Finding the Fourth Proportional to 153,861.20, 230,813.40 and 48,669.20

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Solution

The fourth proportional to 153,861.20, 230,813.40 and 48,669.20 is: 73,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,861.20 : 230,813.40 = 48,669.20 : x
  2. Step 2: Convert to fraction form
    153,861.20/230,813.40 = 48,669.20/x
  3. Step 3: Cross multiply
    153,861.20x = 230,813.40 × 48,669.20
  4. Step 4: Simplify right side
    153,861.20x = 11,233,503,527.28
  5. Step 5: Solve for x
    x = 11,233,503,527.28/153,861.20
  6. Step 6: Final answer
    x = 73,010.63

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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.