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Finding the Fourth Proportional to 147,048.65, 220,217.67 and 83,676.81

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Solution

The fourth proportional to 147,048.65, 220,217.67 and 83,676.81 is: 125,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,048.65 : 220,217.67 = 83,676.81 : x
  2. Step 2: Convert to fraction form
    147,048.65/220,217.67 = 83,676.81/x
  3. Step 3: Cross multiply
    147,048.65x = 220,217.67 × 83,676.81
  4. Step 4: Simplify right side
    147,048.65x = 18,427,112,131.23
  5. Step 5: Solve for x
    x = 18,427,112,131.23/147,048.65
  6. Step 6: Final answer
    x = 125,313.04

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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.