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Finding the Fourth Proportional to 207,457.20, 311,202.16 and 102,218.80

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Solution

The fourth proportional to 207,457.20, 311,202.16 and 102,218.80 is: 153,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,457.20 : 311,202.16 = 102,218.80 : x
  2. Step 2: Convert to fraction form
    207,457.20/311,202.16 = 102,218.80/x
  3. Step 3: Cross multiply
    207,457.20x = 311,202.16 × 102,218.80
  4. Step 4: Simplify right side
    207,457.20x = 31,810,711,352.61
  5. Step 5: Solve for x
    x = 31,810,711,352.61/207,457.20
  6. Step 6: Final answer
    x = 153,336.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.