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Finding the Fourth Proportional to 208,200.49, 287,800.89 and 185,761.87

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Solution

The fourth proportional to 208,200.49, 287,800.89 and 185,761.87 is: 256,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,200.49 : 287,800.89 = 185,761.87 : x
  2. Step 2: Convert to fraction form
    208,200.49/287,800.89 = 185,761.87/x
  3. Step 3: Cross multiply
    208,200.49x = 287,800.89 × 185,761.87
  4. Step 4: Simplify right side
    208,200.49x = 53,462,430,794.56
  5. Step 5: Solve for x
    x = 53,462,430,794.56/208,200.49
  6. Step 6: Final answer
    x = 256,783.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.