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Finding the Fourth Proportional to 285,324.66, 393,756.39 and 158,002.38

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Solution

The fourth proportional to 285,324.66, 393,756.39 and 158,002.38 is: 218,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,324.66 : 393,756.39 = 158,002.38 : x
  2. Step 2: Convert to fraction form
    285,324.66/393,756.39 = 158,002.38/x
  3. Step 3: Cross multiply
    285,324.66x = 393,756.39 × 158,002.38
  4. Step 4: Simplify right side
    285,324.66x = 62,214,446,760.21
  5. Step 5: Solve for x
    x = 62,214,446,760.21/285,324.66
  6. Step 6: Final answer
    x = 218,047.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.