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Finding the Fourth Proportional to 225,530.64, 311,052.69 and 144,966.42

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Solution

The fourth proportional to 225,530.64, 311,052.69 and 144,966.42 is: 199,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,530.64 : 311,052.69 = 144,966.42 : x
  2. Step 2: Convert to fraction form
    225,530.64/311,052.69 = 144,966.42/x
  3. Step 3: Cross multiply
    225,530.64x = 311,052.69 × 144,966.42
  4. Step 4: Simplify right side
    225,530.64x = 45,092,194,900.67
  5. Step 5: Solve for x
    x = 45,092,194,900.67/225,530.64
  6. Step 6: Final answer
    x = 199,938.22

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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.