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Finding the Fourth Proportional to 206,606.10, 309,875.13 and 193,156.86

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Solution

The fourth proportional to 206,606.10, 309,875.13 and 193,156.86 is: 289,703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,606.10 : 309,875.13 = 193,156.86 : x
  2. Step 2: Convert to fraction form
    206,606.10/309,875.13 = 193,156.86/x
  3. Step 3: Cross multiply
    206,606.10x = 309,875.13 × 193,156.86
  4. Step 4: Simplify right side
    206,606.10x = 59,854,507,102.89
  5. Step 5: Solve for x
    x = 59,854,507,102.89/206,606.10
  6. Step 6: Final answer
    x = 289,703.48

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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.