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Finding the Fourth Proportional to 200,645.20, 301,113.60 and 82,401.40

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Solution

The fourth proportional to 200,645.20, 301,113.60 and 82,401.40 is: 123,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,645.20 : 301,113.60 = 82,401.40 : x
  2. Step 2: Convert to fraction form
    200,645.20/301,113.60 = 82,401.40/x
  3. Step 3: Cross multiply
    200,645.20x = 301,113.60 × 82,401.40
  4. Step 4: Simplify right side
    200,645.20x = 24,812,182,199.04
  5. Step 5: Solve for x
    x = 24,812,182,199.04/200,645.20
  6. Step 6: Final answer
    x = 123,661.98

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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.