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Finding the Fourth Proportional to 201,796.50, 301,947.42 and 126,315.30

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Solution

The fourth proportional to 201,796.50, 301,947.42 and 126,315.30 is: 189,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,796.50 : 301,947.42 = 126,315.30 : x
  2. Step 2: Convert to fraction form
    201,796.50/301,947.42 = 126,315.30/x
  3. Step 3: Cross multiply
    201,796.50x = 301,947.42 × 126,315.30
  4. Step 4: Simplify right side
    201,796.50x = 38,140,578,941.53
  5. Step 5: Solve for x
    x = 38,140,578,941.53/201,796.50
  6. Step 6: Final answer
    x = 189,005.16

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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.