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Finding the Fourth Proportional to 137,278.60, 205,917.90 and 106,136.20

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Solution

The fourth proportional to 137,278.60, 205,917.90 and 106,136.20 is: 159,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,278.60 : 205,917.90 = 106,136.20 : x
  2. Step 2: Convert to fraction form
    137,278.60/205,917.90 = 106,136.20/x
  3. Step 3: Cross multiply
    137,278.60x = 205,917.90 × 106,136.20
  4. Step 4: Simplify right side
    137,278.60x = 21,855,343,417.98
  5. Step 5: Solve for x
    x = 21,855,343,417.98/137,278.60
  6. Step 6: Final answer
    x = 159,204.30

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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.