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Finding the Fourth Proportional to 123,381.50, 185,172.48 and 64,234.08

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Solution

The fourth proportional to 123,381.50, 185,172.48 and 64,234.08 is: 96,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,381.50 : 185,172.48 = 64,234.08 : x
  2. Step 2: Convert to fraction form
    123,381.50/185,172.48 = 64,234.08/x
  3. Step 3: Cross multiply
    123,381.50x = 185,172.48 × 64,234.08
  4. Step 4: Simplify right side
    123,381.50x = 11,894,383,894.12
  5. Step 5: Solve for x
    x = 11,894,383,894.12/123,381.50
  6. Step 6: Final answer
    x = 96,403.31

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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.