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Finding the Fourth Proportional to 137,193.72, 205,807.04 and 48,429.04

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Solution

The fourth proportional to 137,193.72, 205,807.04 and 48,429.04 is: 72,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,193.72 : 205,807.04 = 48,429.04 : x
  2. Step 2: Convert to fraction form
    137,193.72/205,807.04 = 48,429.04/x
  3. Step 3: Cross multiply
    137,193.72x = 205,807.04 × 48,429.04
  4. Step 4: Simplify right side
    137,193.72x = 9,967,037,372.44
  5. Step 5: Solve for x
    x = 9,967,037,372.44/137,193.72
  6. Step 6: Final answer
    x = 72,649.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.