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Finding the Fourth Proportional to 202,646.50, 303,969.76 and 54,902.50

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Solution

The fourth proportional to 202,646.50, 303,969.76 and 54,902.50 is: 82,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,646.50 : 303,969.76 = 54,902.50 : x
  2. Step 2: Convert to fraction form
    202,646.50/303,969.76 = 54,902.50/x
  3. Step 3: Cross multiply
    202,646.50x = 303,969.76 × 54,902.50
  4. Step 4: Simplify right side
    202,646.50x = 16,688,699,748.40
  5. Step 5: Solve for x
    x = 16,688,699,748.40/202,646.50
  6. Step 6: Final answer
    x = 82,353.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.