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Finding the Fourth Proportional to 308,932.90, 462,816.15 and 158,661.70

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Solution

The fourth proportional to 308,932.90, 462,816.15 and 158,661.70 is: 237,693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,932.90 : 462,816.15 = 158,661.70 : x
  2. Step 2: Convert to fraction form
    308,932.90/462,816.15 = 158,661.70/x
  3. Step 3: Cross multiply
    308,932.90x = 462,816.15 × 158,661.70
  4. Step 4: Simplify right side
    308,932.90x = 73,431,197,146.46
  5. Step 5: Solve for x
    x = 73,431,197,146.46/308,932.90
  6. Step 6: Final answer
    x = 237,693.03

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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.