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Finding the Fourth Proportional to 207,252.40, 311,006.60 and 82,580.40

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Solution

The fourth proportional to 207,252.40, 311,006.60 and 82,580.40 is: 123,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,252.40 : 311,006.60 = 82,580.40 : x
  2. Step 2: Convert to fraction form
    207,252.40/311,006.60 = 82,580.40/x
  3. Step 3: Cross multiply
    207,252.40x = 311,006.60 × 82,580.40
  4. Step 4: Simplify right side
    207,252.40x = 25,683,049,430.64
  5. Step 5: Solve for x
    x = 25,683,049,430.64/207,252.40
  6. Step 6: Final answer
    x = 123,921.60

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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.