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Finding the Fourth Proportional to 114,265.54, 157,667.70 and 71,794

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Solution

The fourth proportional to 114,265.54, 157,667.70 and 71,794 is: 99,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,265.54 : 157,667.70 = 71,794 : x
  2. Step 2: Convert to fraction form
    114,265.54/157,667.70 = 71,794/x
  3. Step 3: Cross multiply
    114,265.54x = 157,667.70 × 71,794
  4. Step 4: Simplify right side
    114,265.54x = 11,319,594,853.80
  5. Step 5: Solve for x
    x = 11,319,594,853.80/114,265.54
  6. Step 6: Final answer
    x = 99,063.94

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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.