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Finding the Fourth Proportional to 86,819.80, 130,204.10 and 34,211.80

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Solution

The fourth proportional to 86,819.80, 130,204.10 and 34,211.80 is: 51,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,819.80 : 130,204.10 = 34,211.80 : x
  2. Step 2: Convert to fraction form
    86,819.80/130,204.10 = 34,211.80/x
  3. Step 3: Cross multiply
    86,819.80x = 130,204.10 × 34,211.80
  4. Step 4: Simplify right side
    86,819.80x = 4,454,516,628.38
  5. Step 5: Solve for x
    x = 4,454,516,628.38/86,819.80
  6. Step 6: Final answer
    x = 51,307.61

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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.