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Finding the Fourth Proportional to 201,664.46, 302,496.78 and 83,205.60

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Solution

The fourth proportional to 201,664.46, 302,496.78 and 83,205.60 is: 124,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,664.46 : 302,496.78 = 83,205.60 : x
  2. Step 2: Convert to fraction form
    201,664.46/302,496.78 = 83,205.60/x
  3. Step 3: Cross multiply
    201,664.46x = 302,496.78 × 83,205.60
  4. Step 4: Simplify right side
    201,664.46x = 25,169,426,077.97
  5. Step 5: Solve for x
    x = 25,169,426,077.97/201,664.46
  6. Step 6: Final answer
    x = 124,808.44

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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.