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Finding the Fourth Proportional to 137,513.70, 206,281.35 and 58,628.52

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Solution

The fourth proportional to 137,513.70, 206,281.35 and 58,628.52 is: 87,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,513.70 : 206,281.35 = 58,628.52 : x
  2. Step 2: Convert to fraction form
    137,513.70/206,281.35 = 58,628.52/x
  3. Step 3: Cross multiply
    137,513.70x = 206,281.35 × 58,628.52
  4. Step 4: Simplify right side
    137,513.70x = 12,093,970,254.10
  5. Step 5: Solve for x
    x = 12,093,970,254.10/137,513.70
  6. Step 6: Final answer
    x = 87,947.38

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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.