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Finding the Fourth Proportional to 201,797.50, 301,948.92 and 126,316.30

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Solution

The fourth proportional to 201,797.50, 301,948.92 and 126,316.30 is: 189,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,797.50 : 301,948.92 = 126,316.30 : x
  2. Step 2: Convert to fraction form
    201,797.50/301,948.92 = 126,316.30/x
  3. Step 3: Cross multiply
    201,797.50x = 301,948.92 × 126,316.30
  4. Step 4: Simplify right side
    201,797.50x = 38,141,070,363.40
  5. Step 5: Solve for x
    x = 38,141,070,363.40/201,797.50
  6. Step 6: Final answer
    x = 189,006.65

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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.