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Finding the Fourth Proportional to 308,052.74, 462,095.55 and 97,706.90

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Solution

The fourth proportional to 308,052.74, 462,095.55 and 97,706.90 is: 146,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,052.74 : 462,095.55 = 97,706.90 : x
  2. Step 2: Convert to fraction form
    308,052.74/462,095.55 = 97,706.90/x
  3. Step 3: Cross multiply
    308,052.74x = 462,095.55 × 97,706.90
  4. Step 4: Simplify right side
    308,052.74x = 45,149,923,694.30
  5. Step 5: Solve for x
    x = 45,149,923,694.30/308,052.74
  6. Step 6: Final answer
    x = 146,565.56

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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.