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Finding the Fourth Proportional to 245,096.80, 367,645.20 and 205,007.20

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Solution

The fourth proportional to 245,096.80, 367,645.20 and 205,007.20 is: 307,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,096.80 : 367,645.20 = 205,007.20 : x
  2. Step 2: Convert to fraction form
    245,096.80/367,645.20 = 205,007.20/x
  3. Step 3: Cross multiply
    245,096.80x = 367,645.20 × 205,007.20
  4. Step 4: Simplify right side
    245,096.80x = 75,369,913,045.44
  5. Step 5: Solve for x
    x = 75,369,913,045.44/245,096.80
  6. Step 6: Final answer
    x = 307,510.80

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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.