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Finding the Fourth Proportional to 86,819.20, 130,228.80 and 51,827.20

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Solution

The fourth proportional to 86,819.20, 130,228.80 and 51,827.20 is: 77,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,819.20 : 130,228.80 = 51,827.20 : x
  2. Step 2: Convert to fraction form
    86,819.20/130,228.80 = 51,827.20/x
  3. Step 3: Cross multiply
    86,819.20x = 130,228.80 × 51,827.20
  4. Step 4: Simplify right side
    86,819.20x = 6,749,394,063.36
  5. Step 5: Solve for x
    x = 6,749,394,063.36/86,819.20
  6. Step 6: Final answer
    x = 77,740.80

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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.