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Finding the Fourth Proportional to 255,446.63, 352,527.29 and 142,269.38

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Solution

The fourth proportional to 255,446.63, 352,527.29 and 142,269.38 is: 196,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,446.63 : 352,527.29 = 142,269.38 : x
  2. Step 2: Convert to fraction form
    255,446.63/352,527.29 = 142,269.38/x
  3. Step 3: Cross multiply
    255,446.63x = 352,527.29 × 142,269.38
  4. Step 4: Simplify right side
    255,446.63x = 50,153,836,507.40
  5. Step 5: Solve for x
    x = 50,153,836,507.40/255,446.63
  6. Step 6: Final answer
    x = 196,337.83

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Why These Related Problems?

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