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Finding the Fourth Proportional to 205,353.29, 283,281.40 and 129,945.53

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Solution

The fourth proportional to 205,353.29, 283,281.40 and 129,945.53 is: 179,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,353.29 : 283,281.40 = 129,945.53 : x
  2. Step 2: Convert to fraction form
    205,353.29/283,281.40 = 129,945.53/x
  3. Step 3: Cross multiply
    205,353.29x = 283,281.40 × 129,945.53
  4. Step 4: Simplify right side
    205,353.29x = 36,811,152,532.78
  5. Step 5: Solve for x
    x = 36,811,152,532.78/205,353.29
  6. Step 6: Final answer
    x = 179,257.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.