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Finding the Fourth Proportional to 149,596.84, 224,208.01 and 74,737.86

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Solution

The fourth proportional to 149,596.84, 224,208.01 and 74,737.86 is: 112,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,596.84 : 224,208.01 = 74,737.86 : x
  2. Step 2: Convert to fraction form
    149,596.84/224,208.01 = 74,737.86/x
  3. Step 3: Cross multiply
    149,596.84x = 224,208.01 × 74,737.86
  4. Step 4: Simplify right side
    149,596.84x = 16,756,826,862.26
  5. Step 5: Solve for x
    x = 16,756,826,862.26/149,596.84
  6. Step 6: Final answer
    x = 112,013.24

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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.