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Finding the Fourth Proportional to 265,056.30, 365,769.36 and 144,194.49

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Solution

The fourth proportional to 265,056.30, 365,769.36 and 144,194.49 is: 198,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,056.30 : 365,769.36 = 144,194.49 : x
  2. Step 2: Convert to fraction form
    265,056.30/365,769.36 = 144,194.49/x
  3. Step 3: Cross multiply
    265,056.30x = 365,769.36 × 144,194.49
  4. Step 4: Simplify right side
    265,056.30x = 52,741,926,322.83
  5. Step 5: Solve for x
    x = 52,741,926,322.83/265,056.30
  6. Step 6: Final answer
    x = 198,983.86

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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.