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Finding the Fourth Proportional to 208,235.70, 312,321.15 and 58,461.30

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Solution

The fourth proportional to 208,235.70, 312,321.15 and 58,461.30 is: 87,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,235.70 : 312,321.15 = 58,461.30 : x
  2. Step 2: Convert to fraction form
    208,235.70/312,321.15 = 58,461.30/x
  3. Step 3: Cross multiply
    208,235.70x = 312,321.15 × 58,461.30
  4. Step 4: Simplify right side
    208,235.70x = 18,258,700,446.50
  5. Step 5: Solve for x
    x = 18,258,700,446.50/208,235.70
  6. Step 6: Final answer
    x = 87,682.85

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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.