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Finding the Fourth Proportional to 308,371.80, 462,541.14 and 97,993.35

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Solution

The fourth proportional to 308,371.80, 462,541.14 and 97,993.35 is: 146,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,371.80 : 462,541.14 = 97,993.35 : x
  2. Step 2: Convert to fraction form
    308,371.80/462,541.14 = 97,993.35/x
  3. Step 3: Cross multiply
    308,371.80x = 462,541.14 × 97,993.35
  4. Step 4: Simplify right side
    308,371.80x = 45,325,955,821.42
  5. Step 5: Solve for x
    x = 45,325,955,821.42/308,371.80
  6. Step 6: Final answer
    x = 146,984.76

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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.