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Finding the Fourth Proportional to 205,057.70, 307,586.55 and 185,374.70

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Solution

The fourth proportional to 205,057.70, 307,586.55 and 185,374.70 is: 278,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,057.70 : 307,586.55 = 185,374.70 : x
  2. Step 2: Convert to fraction form
    205,057.70/307,586.55 = 185,374.70/x
  3. Step 3: Cross multiply
    205,057.70x = 307,586.55 × 185,374.70
  4. Step 4: Simplify right side
    205,057.70x = 57,018,764,430.29
  5. Step 5: Solve for x
    x = 57,018,764,430.29/205,057.70
  6. Step 6: Final answer
    x = 278,062.05

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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.