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Finding the Fourth Proportional to 201,829.80, 302,744.70 and 83,440.20

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Solution

The fourth proportional to 201,829.80, 302,744.70 and 83,440.20 is: 125,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,829.80 : 302,744.70 = 83,440.20 : x
  2. Step 2: Convert to fraction form
    201,829.80/302,744.70 = 83,440.20/x
  3. Step 3: Cross multiply
    201,829.80x = 302,744.70 × 83,440.20
  4. Step 4: Simplify right side
    201,829.80x = 25,261,078,316.94
  5. Step 5: Solve for x
    x = 25,261,078,316.94/201,829.80
  6. Step 6: Final answer
    x = 125,160.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.