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Finding the Fourth Proportional to 202,646.79, 303,707.30 and 82,564.10

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Solution

The fourth proportional to 202,646.79, 303,707.30 and 82,564.10 is: 123,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,646.79 : 303,707.30 = 82,564.10 : x
  2. Step 2: Convert to fraction form
    202,646.79/303,707.30 = 82,564.10/x
  3. Step 3: Cross multiply
    202,646.79x = 303,707.30 × 82,564.10
  4. Step 4: Simplify right side
    202,646.79x = 25,075,317,956.57
  5. Step 5: Solve for x
    x = 25,075,317,956.57/202,646.79
  6. Step 6: Final answer
    x = 123,739.03

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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.