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Finding the Fourth Proportional to 309,201.45, 463,790.05 and 129,240.40

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Solution

The fourth proportional to 309,201.45, 463,790.05 and 129,240.40 is: 193,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,201.45 : 463,790.05 = 129,240.40 : x
  2. Step 2: Convert to fraction form
    309,201.45/463,790.05 = 129,240.40/x
  3. Step 3: Cross multiply
    309,201.45x = 463,790.05 × 129,240.40
  4. Step 4: Simplify right side
    309,201.45x = 59,940,411,578.02
  5. Step 5: Solve for x
    x = 59,940,411,578.02/309,201.45
  6. Step 6: Final answer
    x = 193,855.53

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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.