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Finding the Fourth Proportional to 208,205.40, 312,308.10 and 185,460.60

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Solution

The fourth proportional to 208,205.40, 312,308.10 and 185,460.60 is: 278,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205.40 : 312,308.10 = 185,460.60 : x
  2. Step 2: Convert to fraction form
    208,205.40/312,308.10 = 185,460.60/x
  3. Step 3: Cross multiply
    208,205.40x = 312,308.10 × 185,460.60
  4. Step 4: Simplify right side
    208,205.40x = 57,920,847,610.86
  5. Step 5: Solve for x
    x = 57,920,847,610.86/208,205.40
  6. Step 6: Final answer
    x = 278,190.90

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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.