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Finding the Fourth Proportional to 201,644.80, 302,576.55 and 83,328.10

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Solution

The fourth proportional to 201,644.80, 302,576.55 and 83,328.10 is: 125,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644.80 : 302,576.55 = 83,328.10 : x
  2. Step 2: Convert to fraction form
    201,644.80/302,576.55 = 83,328.10/x
  3. Step 3: Cross multiply
    201,644.80x = 302,576.55 × 83,328.10
  4. Step 4: Simplify right side
    201,644.80x = 25,213,129,016.06
  5. Step 5: Solve for x
    x = 25,213,129,016.06/201,644.80
  6. Step 6: Final answer
    x = 125,037.34

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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.