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Finding the Fourth Proportional to 137,435.08, 205,958.22 and 58,469.80

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Solution

The fourth proportional to 137,435.08, 205,958.22 and 58,469.80 is: 87,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,435.08 : 205,958.22 = 58,469.80 : x
  2. Step 2: Convert to fraction form
    137,435.08/205,958.22 = 58,469.80/x
  3. Step 3: Cross multiply
    137,435.08x = 205,958.22 × 58,469.80
  4. Step 4: Simplify right side
    137,435.08x = 12,042,335,931.76
  5. Step 5: Solve for x
    x = 12,042,335,931.76/137,435.08
  6. Step 6: Final answer
    x = 87,622.00

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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.