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Finding the Fourth Proportional to 200,806.04, 301,158.50 and 82,510.04

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Solution

The fourth proportional to 200,806.04, 301,158.50 and 82,510.04 is: 123,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,806.04 : 301,158.50 = 82,510.04 : x
  2. Step 2: Convert to fraction form
    200,806.04/301,158.50 = 82,510.04/x
  3. Step 3: Cross multiply
    200,806.04x = 301,158.50 × 82,510.04
  4. Step 4: Simplify right side
    200,806.04x = 24,848,599,881.34
  5. Step 5: Solve for x
    x = 24,848,599,881.34/200,806.04
  6. Step 6: Final answer
    x = 123,744.29

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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.