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Finding the Fourth Proportional to 137,219.70, 205,829.55 and 54,102.90

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Solution

The fourth proportional to 137,219.70, 205,829.55 and 54,102.90 is: 81,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,219.70 : 205,829.55 = 54,102.90 : x
  2. Step 2: Convert to fraction form
    137,219.70/205,829.55 = 54,102.90/x
  3. Step 3: Cross multiply
    137,219.70x = 205,829.55 × 54,102.90
  4. Step 4: Simplify right side
    137,219.70x = 11,135,975,560.70
  5. Step 5: Solve for x
    x = 11,135,975,560.70/137,219.70
  6. Step 6: Final answer
    x = 81,154.35

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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.