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Finding the Fourth Proportional to 253,640.16, 350,022.74 and 146,209.59

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Solution

The fourth proportional to 253,640.16, 350,022.74 and 146,209.59 is: 201,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,640.16 : 350,022.74 = 146,209.59 : x
  2. Step 2: Convert to fraction form
    253,640.16/350,022.74 = 146,209.59/x
  3. Step 3: Cross multiply
    253,640.16x = 350,022.74 × 146,209.59
  4. Step 4: Simplify right side
    253,640.16x = 51,176,680,575.03
  5. Step 5: Solve for x
    x = 51,176,680,575.03/253,640.16
  6. Step 6: Final answer
    x = 201,768.84

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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.