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Finding the Fourth Proportional to 208,124.20, 311,840.70 and 178,402.60

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Solution

The fourth proportional to 208,124.20, 311,840.70 and 178,402.60 is: 267,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,124.20 : 311,840.70 = 178,402.60 : x
  2. Step 2: Convert to fraction form
    208,124.20/311,840.70 = 178,402.60/x
  3. Step 3: Cross multiply
    208,124.20x = 311,840.70 × 178,402.60
  4. Step 4: Simplify right side
    208,124.20x = 55,633,191,665.82
  5. Step 5: Solve for x
    x = 55,633,191,665.82/208,124.20
  6. Step 6: Final answer
    x = 267,307.65

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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.