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Finding the Fourth Proportional to 308,057.20, 462,100.20 and 97,711.60

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Solution

The fourth proportional to 308,057.20, 462,100.20 and 97,711.60 is: 146,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,057.20 : 462,100.20 = 97,711.60 : x
  2. Step 2: Convert to fraction form
    308,057.20/462,100.20 = 97,711.60/x
  3. Step 3: Cross multiply
    308,057.20x = 462,100.20 × 97,711.60
  4. Step 4: Simplify right side
    308,057.20x = 45,152,549,902.32
  5. Step 5: Solve for x
    x = 45,152,549,902.32/308,057.20
  6. Step 6: Final answer
    x = 146,571.97

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1.5x scale

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.