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Finding the Fourth Proportional to 207,575.20, 311,362.80 and 166,103.20

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Solution

The fourth proportional to 207,575.20, 311,362.80 and 166,103.20 is: 249,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,575.20 : 311,362.80 = 166,103.20 : x
  2. Step 2: Convert to fraction form
    207,575.20/311,362.80 = 166,103.20/x
  3. Step 3: Cross multiply
    207,575.20x = 311,362.80 × 166,103.20
  4. Step 4: Simplify right side
    207,575.20x = 51,718,357,440.96
  5. Step 5: Solve for x
    x = 51,718,357,440.96/207,575.20
  6. Step 6: Final answer
    x = 249,154.80

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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.