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Finding the Fourth Proportional to 147,210.78, 220,819.80 and 53,716.50

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Solution

The fourth proportional to 147,210.78, 220,819.80 and 53,716.50 is: 80,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,210.78 : 220,819.80 = 53,716.50 : x
  2. Step 2: Convert to fraction form
    147,210.78/220,819.80 = 53,716.50/x
  3. Step 3: Cross multiply
    147,210.78x = 220,819.80 × 53,716.50
  4. Step 4: Simplify right side
    147,210.78x = 11,861,666,786.70
  5. Step 5: Solve for x
    x = 11,861,666,786.70/147,210.78
  6. Step 6: Final answer
    x = 80,576.07

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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.