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Finding the Fourth Proportional to 208,232.40, 287,844.96 and 185,793.78

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Solution

The fourth proportional to 208,232.40, 287,844.96 and 185,793.78 is: 256,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,232.40 : 287,844.96 = 185,793.78 : x
  2. Step 2: Convert to fraction form
    208,232.40/287,844.96 = 185,793.78/x
  3. Step 3: Cross multiply
    208,232.40x = 287,844.96 × 185,793.78
  4. Step 4: Simplify right side
    208,232.40x = 53,479,803,172.35
  5. Step 5: Solve for x
    x = 53,479,803,172.35/208,232.40
  6. Step 6: Final answer
    x = 256,827.48

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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.