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Finding the Fourth Proportional to 259,905.70, 358,631.71 and 145,170.21

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Solution

The fourth proportional to 259,905.70, 358,631.71 and 145,170.21 is: 200,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,905.70 : 358,631.71 = 145,170.21 : x
  2. Step 2: Convert to fraction form
    259,905.70/358,631.71 = 145,170.21/x
  3. Step 3: Cross multiply
    259,905.70x = 358,631.71 × 145,170.21
  4. Step 4: Simplify right side
    259,905.70x = 52,062,640,290.43
  5. Step 5: Solve for x
    x = 52,062,640,290.43/259,905.70
  6. Step 6: Final answer
    x = 200,313.58

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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.