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Finding the Fourth Proportional to 237,358.30, 355,476.12 and 206,024.26

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Solution

The fourth proportional to 237,358.30, 355,476.12 and 206,024.26 is: 308,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,358.30 : 355,476.12 = 206,024.26 : x
  2. Step 2: Convert to fraction form
    237,358.30/355,476.12 = 206,024.26/x
  3. Step 3: Cross multiply
    237,358.30x = 355,476.12 × 206,024.26
  4. Step 4: Simplify right side
    237,358.30x = 73,236,704,570.67
  5. Step 5: Solve for x
    x = 73,236,704,570.67/237,358.30
  6. Step 6: Final answer
    x = 308,549.16

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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.