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Finding the Fourth Proportional to 201,659.70, 302,489.55 and 83,415.90

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Solution

The fourth proportional to 201,659.70, 302,489.55 and 83,415.90 is: 125,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,659.70 : 302,489.55 = 83,415.90 : x
  2. Step 2: Convert to fraction form
    201,659.70/302,489.55 = 83,415.90/x
  3. Step 3: Cross multiply
    201,659.70x = 302,489.55 × 83,415.90
  4. Step 4: Simplify right side
    201,659.70x = 25,232,438,053.85
  5. Step 5: Solve for x
    x = 25,232,438,053.85/201,659.70
  6. Step 6: Final answer
    x = 125,123.85

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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.