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Finding the Fourth Proportional to 308,052.10, 462,034.95 and 97,711.30

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Solution

The fourth proportional to 308,052.10, 462,034.95 and 97,711.30 is: 146,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,052.10 : 462,034.95 = 97,711.30 : x
  2. Step 2: Convert to fraction form
    308,052.10/462,034.95 = 97,711.30/x
  3. Step 3: Cross multiply
    308,052.10x = 462,034.95 × 97,711.30
  4. Step 4: Simplify right side
    308,052.10x = 45,146,035,609.94
  5. Step 5: Solve for x
    x = 45,146,035,609.94/308,052.10
  6. Step 6: Final answer
    x = 146,553.25

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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.