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Finding the Fourth Proportional to 206,731.31, 309,681.76 and 94,256.81

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Solution

The fourth proportional to 206,731.31, 309,681.76 and 94,256.81 is: 141,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,731.31 : 309,681.76 = 94,256.81 : x
  2. Step 2: Convert to fraction form
    206,731.31/309,681.76 = 94,256.81/x
  3. Step 3: Cross multiply
    206,731.31x = 309,681.76 × 94,256.81
  4. Step 4: Simplify right side
    206,731.31x = 29,189,614,812.79
  5. Step 5: Solve for x
    x = 29,189,614,812.79/206,731.31
  6. Step 6: Final answer
    x = 141,195.91

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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.