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Finding the Fourth Proportional to 201,867.06, 302,836.23 and 83,472.10

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Solution

The fourth proportional to 201,867.06, 302,836.23 and 83,472.10 is: 125,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,867.06 : 302,836.23 = 83,472.10 : x
  2. Step 2: Convert to fraction form
    201,867.06/302,836.23 = 83,472.10/x
  3. Step 3: Cross multiply
    201,867.06x = 302,836.23 × 83,472.10
  4. Step 4: Simplify right side
    201,867.06x = 25,278,376,074.18
  5. Step 5: Solve for x
    x = 25,278,376,074.18/201,867.06
  6. Step 6: Final answer
    x = 125,222.89

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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.