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Finding the Fourth Proportional to 382,201.30, 573,301.95 and 97,891.30

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Solution

The fourth proportional to 382,201.30, 573,301.95 and 97,891.30 is: 146,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,201.30 : 573,301.95 = 97,891.30 : x
  2. Step 2: Convert to fraction form
    382,201.30/573,301.95 = 97,891.30/x
  3. Step 3: Cross multiply
    382,201.30x = 573,301.95 × 97,891.30
  4. Step 4: Simplify right side
    382,201.30x = 56,121,273,178.04
  5. Step 5: Solve for x
    x = 56,121,273,178.04/382,201.30
  6. Step 6: Final answer
    x = 146,836.95

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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.