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Finding the Fourth Proportional to 137,277.60, 205,916.40 and 106,135.20

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Solution

The fourth proportional to 137,277.60, 205,916.40 and 106,135.20 is: 159,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,277.60 : 205,916.40 = 106,135.20 : x
  2. Step 2: Convert to fraction form
    137,277.60/205,916.40 = 106,135.20/x
  3. Step 3: Cross multiply
    137,277.60x = 205,916.40 × 106,135.20
  4. Step 4: Simplify right side
    137,277.60x = 21,854,978,297.28
  5. Step 5: Solve for x
    x = 21,854,978,297.28/137,277.60
  6. Step 6: Final answer
    x = 159,202.80

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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.