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Finding the Fourth Proportional to 232,405.89, 320,706.99 and 130,421.84

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Solution

The fourth proportional to 232,405.89, 320,706.99 and 130,421.84 is: 179,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,405.89 : 320,706.99 = 130,421.84 : x
  2. Step 2: Convert to fraction form
    232,405.89/320,706.99 = 130,421.84/x
  3. Step 3: Cross multiply
    232,405.89x = 320,706.99 × 130,421.84
  4. Step 4: Simplify right side
    232,405.89x = 41,827,194,133.13
  5. Step 5: Solve for x
    x = 41,827,194,133.13/232,405.89
  6. Step 6: Final answer
    x = 179,974.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.