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Finding the Fourth Proportional to 122,191.34, 183,273.48 and 32,243.18

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Solution

The fourth proportional to 122,191.34, 183,273.48 and 32,243.18 is: 48,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,191.34 : 183,273.48 = 32,243.18 : x
  2. Step 2: Convert to fraction form
    122,191.34/183,273.48 = 32,243.18/x
  3. Step 3: Cross multiply
    122,191.34x = 183,273.48 × 32,243.18
  4. Step 4: Simplify right side
    122,191.34x = 5,909,318,888.50
  5. Step 5: Solve for x
    x = 5,909,318,888.50/122,191.34
  6. Step 6: Final answer
    x = 48,361.19

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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.