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Finding the Fourth Proportional to 255,436.38, 352,513.14 and 142,259.13

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Solution

The fourth proportional to 255,436.38, 352,513.14 and 142,259.13 is: 196,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,436.38 : 352,513.14 = 142,259.13 : x
  2. Step 2: Convert to fraction form
    255,436.38/352,513.14 = 142,259.13/x
  3. Step 3: Cross multiply
    255,436.38x = 352,513.14 × 142,259.13
  4. Step 4: Simplify right side
    255,436.38x = 50,148,212,609.97
  5. Step 5: Solve for x
    x = 50,148,212,609.97/255,436.38
  6. Step 6: Final answer
    x = 196,323.69

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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.