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Finding the Fourth Proportional to 308,762.10, 463,143.15 and 158,793.30

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Solution

The fourth proportional to 308,762.10, 463,143.15 and 158,793.30 is: 238,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,762.10 : 463,143.15 = 158,793.30 : x
  2. Step 2: Convert to fraction form
    308,762.10/463,143.15 = 158,793.30/x
  3. Step 3: Cross multiply
    308,762.10x = 463,143.15 × 158,793.30
  4. Step 4: Simplify right side
    308,762.10x = 73,544,029,160.90
  5. Step 5: Solve for x
    x = 73,544,029,160.90/308,762.10
  6. Step 6: Final answer
    x = 238,189.95

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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.