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Finding the Fourth Proportional to 201,829.83, 302,744.73 and 83,370.96

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Solution

The fourth proportional to 201,829.83, 302,744.73 and 83,370.96 is: 125,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,829.83 : 302,744.73 = 83,370.96 : x
  2. Step 2: Convert to fraction form
    201,829.83/302,744.73 = 83,370.96/x
  3. Step 3: Cross multiply
    201,829.83x = 302,744.73 × 83,370.96
  4. Step 4: Simplify right side
    201,829.83x = 25,240,118,775.04
  5. Step 5: Solve for x
    x = 25,240,118,775.04/201,829.83
  6. Step 6: Final answer
    x = 125,056.43

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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.