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Finding the Fourth Proportional to 308,046.10, 461,723.55 and 130,522.90

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Solution

The fourth proportional to 308,046.10, 461,723.55 and 130,522.90 is: 195,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,046.10 : 461,723.55 = 130,522.90 : x
  2. Step 2: Convert to fraction form
    308,046.10/461,723.55 = 130,522.90/x
  3. Step 3: Cross multiply
    308,046.10x = 461,723.55 × 130,522.90
  4. Step 4: Simplify right side
    308,046.10x = 60,265,496,744.30
  5. Step 5: Solve for x
    x = 60,265,496,744.30/308,046.10
  6. Step 6: Final answer
    x = 195,637.92

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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.