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Finding the Fourth Proportional to 206,039.22, 309,533.96 and 197,526.66

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Solution

The fourth proportional to 206,039.22, 309,533.96 and 197,526.66 is: 296,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,039.22 : 309,533.96 = 197,526.66 : x
  2. Step 2: Convert to fraction form
    206,039.22/309,533.96 = 197,526.66/x
  3. Step 3: Cross multiply
    206,039.22x = 309,533.96 × 197,526.66
  4. Step 4: Simplify right side
    206,039.22x = 61,141,210,349.57
  5. Step 5: Solve for x
    x = 61,141,210,349.57/206,039.22
  6. Step 6: Final answer
    x = 296,745.50

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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.