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Finding the Fourth Proportional to 149,597.84, 224,209.52 and 74,738.86

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Solution

The fourth proportional to 149,597.84, 224,209.52 and 74,738.86 is: 112,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,597.84 : 224,209.52 = 74,738.86 : x
  2. Step 2: Convert to fraction form
    149,597.84/224,209.52 = 74,738.86/x
  3. Step 3: Cross multiply
    149,597.84x = 224,209.52 × 74,738.86
  4. Step 4: Simplify right side
    149,597.84x = 16,757,163,925.95
  5. Step 5: Solve for x
    x = 16,757,163,925.95/149,597.84
  6. Step 6: Final answer
    x = 112,014.75

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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.