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Finding the Fourth Proportional to 149,406.48, 224,153.49 and 48,202.48

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Solution

The fourth proportional to 149,406.48, 224,153.49 and 48,202.48 is: 72,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,406.48 : 224,153.49 = 48,202.48 : x
  2. Step 2: Convert to fraction form
    149,406.48/224,153.49 = 48,202.48/x
  3. Step 3: Cross multiply
    149,406.48x = 224,153.49 × 48,202.48
  4. Step 4: Simplify right side
    149,406.48x = 10,804,753,377.51
  5. Step 5: Solve for x
    x = 10,804,753,377.51/149,406.48
  6. Step 6: Final answer
    x = 72,317.84

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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.