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Finding the Fourth Proportional to 208,732.86, 313,082.66 and 58,967.10

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Solution

The fourth proportional to 208,732.86, 313,082.66 and 58,967.10 is: 88,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,732.86 : 313,082.66 = 58,967.10 : x
  2. Step 2: Convert to fraction form
    208,732.86/313,082.66 = 58,967.10/x
  3. Step 3: Cross multiply
    208,732.86x = 313,082.66 × 58,967.10
  4. Step 4: Simplify right side
    208,732.86x = 18,461,576,520.49
  5. Step 5: Solve for x
    x = 18,461,576,520.49/208,732.86
  6. Step 6: Final answer
    x = 88,445.95

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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.