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Finding the Fourth Proportional to 255,437.96, 352,504.38 and 142,260.71

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Solution

The fourth proportional to 255,437.96, 352,504.38 and 142,260.71 is: 196,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,437.96 : 352,504.38 = 142,260.71 : x
  2. Step 2: Convert to fraction form
    255,437.96/352,504.38 = 142,260.71/x
  3. Step 3: Cross multiply
    255,437.96x = 352,504.38 × 142,260.71
  4. Step 4: Simplify right side
    255,437.96x = 50,147,521,614.39
  5. Step 5: Solve for x
    x = 50,147,521,614.39/255,437.96
  6. Step 6: Final answer
    x = 196,319.77

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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.