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Finding the Fourth Proportional to 130,951.92, 196,513.95 and 71,829.06

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Solution

The fourth proportional to 130,951.92, 196,513.95 and 71,829.06 is: 107,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,951.92 : 196,513.95 = 71,829.06 : x
  2. Step 2: Convert to fraction form
    130,951.92/196,513.95 = 71,829.06/x
  3. Step 3: Cross multiply
    130,951.92x = 196,513.95 × 71,829.06
  4. Step 4: Simplify right side
    130,951.92x = 14,115,412,305.39
  5. Step 5: Solve for x
    x = 14,115,412,305.39/130,951.92
  6. Step 6: Final answer
    x = 107,790.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.