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Finding the Fourth Proportional to 201,662.96, 302,494.53 and 83,204.10

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Solution

The fourth proportional to 201,662.96, 302,494.53 and 83,204.10 is: 124,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,662.96 : 302,494.53 = 83,204.10 : x
  2. Step 2: Convert to fraction form
    201,662.96/302,494.53 = 83,204.10/x
  3. Step 3: Cross multiply
    201,662.96x = 302,494.53 × 83,204.10
  4. Step 4: Simplify right side
    201,662.96x = 25,168,785,123.57
  5. Step 5: Solve for x
    x = 25,168,785,123.57/201,662.96
  6. Step 6: Final answer
    x = 124,806.19

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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.