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Finding the Fourth Proportional to 208,591.41, 312,701.48 and 75,442.10

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Solution

The fourth proportional to 208,591.41, 312,701.48 and 75,442.10 is: 113,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,591.41 : 312,701.48 = 75,442.10 : x
  2. Step 2: Convert to fraction form
    208,591.41/312,701.48 = 75,442.10/x
  3. Step 3: Cross multiply
    208,591.41x = 312,701.48 × 75,442.10
  4. Step 4: Simplify right side
    208,591.41x = 23,590,854,383.59
  5. Step 5: Solve for x
    x = 23,590,854,383.59/208,591.41
  6. Step 6: Final answer
    x = 113,096.00

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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.